Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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a skyscraper has a triangular window with an area of 42 square meters. …
### Part 1: Choosing the Correct Equation # Explanation: ## Step 1: Recall the area formula for a triangle The area \( A \) of a triangle is given by \( A = \frac{1}{2} \times \te…
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consider the diagram. what is qs? 2 units. 5 units. 17 units. 33 units.
17 units.
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which transformation will not carry the rectangle below onto itself? an…
a rotation of \(90^{\circ}\) clockwise about the origin
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this image has rotational symmetry. what is the smallest number of degr…
$60^\circ$
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point s lies between points r and t on \\(\\overline{rt}\\). if rt is 1…
6 centimeters
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this image has rotational symmetry. what is the smallest number of degr…
$180$
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which expression can be used to determine the length of segment zy? \\(…
\(\sqrt{8^2 + 3^2}\) (the second option)
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a cylinder with a base diameter of x units has a volume of $\\pi x^3$ c…
B. The area of the cylinder's base is \(\frac{1}{4}\pi x^{2}\) square units. E. The height of the cylinder is \(4x\) units. (Assuming the options are labeled as A: The radius of t…
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cedric applied the rule ( r_m circ r_{p, 30^circ}(x, y) ) to figure wxy…
He applied the reflection to the pre-image first. He used an incorrect angle of rotation around point P.
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triangle def was tranformed to create triangle def. complete the statem…
B. point E'.
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point e is drawn on the graph so that line ef is parallel to line cd. i…
-8
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rectangle abcd is the image of rectangle abcd after it has been transla…
\(\boldsymbol{(-1,-2)}\), \(\boldsymbol{(7,1)}\), \(\boldsymbol{(-1,1)}\), \(\boldsymbol{(7,-2)}\)
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given: ab = 12 ac = 6 prove: c is the midpoint of \\(\\overline{ab}\\).…
transitive (of equality)
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$\\overrightarrow{fe}$ is tangent to the circle at $e$. $\\overrightarr…
$m\angle EFG = 82^\circ$
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33 graph the solution to the inequality $-2|x - 5| + 7 > 3$
The solution is $3 < x < 7$, graphed as an open interval on the number line with open circles at 3 and 7, and the segment between them shaded.
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27. you examine a contemporary dna sculpture. you use a cardboard squar…
(Problem 27): The height of the sculpture is approximately \( \boldsymbol{12.4} \) ft (or depending on the correct proportion, maybe \( 11.4 \) ft, but with the given numbers and …
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$\\overleftrightarrow{wx}$ is tangent to the circle at $y$. find the me…
$90.5$
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which is precisely defined using the undefined terms point and plane? c…
A. circle
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what is the contrapositive of the statement? all squares are rectangles…
D. If a figure is not a rectangle, then it is not a square.
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which rule describes the composition of transformations that maps $\\de…
$T_{-6,\ -2} \circ r_{x-axis}(x, y)$
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a solid right pyramid has a square base with an edge length of s units …
\(\frac{1}{3}s^{2}h\) units\(^3\) (the option corresponding to this expression)
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what is the rule for the reflection? $r_{x\\text{-axis}}(x,y) \\to (-x,…
$\boldsymbol{r_{y-axis}(x, y) \to (-x, y)}$
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question 2 of 5 (1 point) | question your answer is incorrect. domain: …
Domain: $\{-2, 2, 4\}$ Range: $\{-3, 2, 4\}$
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graph the image of $\\triangle ghi$ after the following sequence of tra…
The vertices of the image of $\triangle GHI$ are $G'(-9, -7)$, $H'(-7, -13)$ and $I'(-3, -7)$. To graph the image, plot these three points and connect them to form the triangle.
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based on the diagram, can point d be the centroid of triangle acf? expl…
No, the ratio between AD and DE is 3:1.
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an oblique cylinder has a radius of 10 units and slant length of 26 uni…
2,400π cubic units
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point o is the incenter of δabc. what is m∠qbo? (3x − 15)° (2x + 6)° (4…
12°
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11. \\(\frac{9}{10}\\) mi, \\(1\frac{1}{5}\\) mi, \\(1\frac{2}{5}\\) mi…
$3\frac{1}{2}$ mi
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which represents an exterior angle of triangle egf? ○ ∠meg ○ ∠neg ○ ∠pe…
\( \angle NEG \)
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introduction drag the black dots to the following points: (4, -7) (-6, …
To solve the drag - and - drop task: 1. For the point \((4, -7)\): Start at the origin \((0,0)\). Move 4 units to the right along the \(x\)-axis (because \(x = 4\) is positive) an…
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which statements regarding $\\triangle efg$ are true? select three opti…
- \(EF + FG > EG\) - \(EG + FG > EF\) - \(EG - FG < EF\)
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what is the approximate volume of the oblique cone? use $\\pi \\approx …
235.5 cubic units (Option: 235.5 cubic units)
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part 4: why do wars start? below is a list of reasons wars may begin. c…
Two possible choices: Power and Land (or other combinations like Money and Protection, etc., based on analysis of war causes). For example, **Power** (nations often start wars to …
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question 16 (multiple choice worth 1 points) (05.06r mc) two boats star…
213.2 ft (closest to calculated value 386.05 ft correction: recalculation error corrected: ## Step1: Find length of BC $\tan(66^\circ)=\frac{300}{BC} \implies BC=\frac{300}{\tan66…
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the surface area of a rectangular prism is increased by a factor of 16.…
64 (corresponding to the option with 64)
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if $\\angle e$ measures $45^\\circ$, $\\angle f$ measures $98^\\circ$, …
7 feet --- ### Second Problem (Question 15)
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question 12 calculate the area of triangle abc with altitude cd, given …
15 square units --- ### Question 13
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leo drew a line that is perpendicular to the line shown on the grid and…
$\boldsymbol{y - G = -\frac{1}{3}(x - F)}$ --- ### Second Question
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the two triangular prisms shown are similar. what is the volume of the …
\(144\ m^3\) (the option is D. \(144\ m^3\))
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the volumes of two similar solids are $210\\,\\mathrm{m}^3$ and $1,680\…
214 m² (corresponding to the option "214 m²")
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what is the height, in feet, of the portion ab of the lamppost?\\(\frac…
$20\tan55^\circ$ ---
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cylinders a and b are similar solids. the base of cylinder a has a circ…
\(\frac{3}{2}\) (corresponding to the option \(\boldsymbol{\frac{3}{2}}\))
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a horse corral is represented by triangle xyz. if ( mangle x = 65^circ …
52 ft --- ### Second Question
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x - 6y > 18
To graph \(x - 6y>18\): 1. Rewrite as \(y<\frac{1}{6}x - 3\). 2. Draw a dashed line \(y=\frac{1}{6}x - 3\) (through \((0,-3)\) and \((18,0)\)). 3. Shade the region below the dashe…
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the ratio of horizontal distance to height of the ramp is 13:1. a build…
B. No. The length of the ramp is $\sqrt{170}$ feet. The rubber mat will be too short.
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the corner of a room where two walls meet the floor should be a right t…
If the distance across the floor from one mark to the other is $\boldsymbol{15}$ inch(es), then the **converse of the Pythagorean Theorem** says that because $9^2 + 12^2 = \boldsy…
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you are going to use an incline plane to lift a heavy object to the top…
14.9
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find x. this problem must use the full sides of triangles as a solution…
\( x = 15 \) (following the given solution's steps, although there might be a mis - proportion setup, but as per the provided solution calculation, \( x = 15 \))
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a cube has an edge length of 9 centimeters. if the side length is incre…
72 cm (Option: 72 cm)
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18 if the length of \\( \\overline{ab} \\) is 13 millimeters, what is t…
\( x = 6 \) ### 20b Solution:
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what are complementary colors? explain below, what complementary colors…
Complementary colors are pairs of colors opposite each other on the color wheel (e.g., red - green, blue - orange, yellow - purple) that contrast strongly and can mix to a neutral…
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15 fill in the chart below property parallelogram rectangle rhombus squ…
### Question 15: Fill in the Chart (Quadrilateral Properties) To fill the chart, we use the definitions and properties of each quadrilateral: #### 1. **Parallelogram** - Opposite …
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solve for x and graph the solution on the number line below. 8x < 0 ans…
Inequality Notation: $x < 0$ Number Line: An open circle at $0$ with a shaded arrow pointing to the left.
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solve for x and graph the solution on the number line below. 6x > 60 an…
Inequality Notation: $x \> 10$ Number Line: Open circle at 10 with a shaded arrow pointing to the right.
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literacy and vocabulary proving triangles similar the column on the lef…
1. The length of side $\overline{EF}$ (or the value of $x$) 2. The SAS (Side-Angle-Side) Similarity Theorem states that if two sides of one triangle are proportional to two sides …
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problem 7 a silo is a large cylindrical container used on farms to hold…
Approximately \(\boxed{670}\) cubic feet (or more precisely around 670.21, which can be rounded as needed)
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solve the inequality and graph the solution on the line provided. -5 - …
Inequality Notation: $x \ge 4$ Number Line: A closed circle at $4$ with a ray extending to the right.
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a triangle on a coordinate plane is translated according to the rule ( …
\((x,y)\to(x - 8,y + 4)\) (the first option among the given ones with this rule)
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solve the inequality and graph the solution on the line provided. 7x + …
Inequality Notation: $x \ge 3$ Number Line: A closed circle at $3$ with a shaded arrow pointing to the right.
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which theorem or postulate proves that △ abc and △ def are similar? ○ s…
AA Similarity Postulat
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item 1 $\\triangle rbw$, $\\triangle rfh$, and $\\triangle ryg$ are sho…
\(\boldsymbol{\frac{3}{3\sqrt{2}}}\) (corresponding to the option \(\frac{3}{3\sqrt{2}}\))
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style 1: the similar triangles are two separate triangles. find x: crea…
\( x = 20 \)
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note: image is not drawn to scale. what is the volume of this right con…
\( 300\pi \text{ cm}^3 \) (the option with 300π cm³)
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no additional details were added for this assignment. what is the volum…
\( 120\pi\space\text{cm}^3 \) (corresponding to the option with \( 120\pi\space\text{cm}^3 \))
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a similarity transformation is a composition of one or more rigid motio…
- Triangles with $33^\circ, 70^\circ$ ↔ AA Similarity - Triangles with sides 12,15,6 and 8,10,4 ↔ SSS Similarity - Triangles with sides 16,20 and 20,25 (included $108^\circ$) ↔ SA…
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determine whether the triangles are similar by aa-, sss-, sas-, or not …
Not Similar
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find the following arc measures. $m\\overarc{yu} = \\underline{\\quad\\…
$m\widehat{YU} = 17^\circ$ $m\widehat{XW} = 235^\circ$ $m\widehat{XVW} = 288^\circ$ (correction: $\overarc{XVW}$ is from $X$ to $W$ through $V$: $\overarc{XY}+\overarc{YU}+\overar…
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find the slope of the line that passes through the points (-4, 1) and (…
$0$
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6) graph the following lines on the graph together. y = x y = -4 x = 7 …
The graph will contain: 1. A diagonal line $y=x$ through the origin with a 45-degree slope 2. A horizontal line $y=-4$ running left-right across the graph at $y=-4$ 3. A vertical …
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find each angle or arc measure.
Top unknown angle: $52^\circ$ Bottom unknown angle: $75^\circ$
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ae = ec and bf = fc. ef = 8 and df = 14. ab = ?
\( \boxed{16} \)
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a 16-foot ladder leans against a wall so that the ladders angle of elev…
x = 9.18
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6x - 5 3x + 5 which expression represents the area of the triangle? ○ 9…
$9x^2 + 7.5x - 12.5$
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the graph shows triangles cde and vwx. is cde congruent to vwx?
No, $\triangle CDE$ is not congruent to $\triangle VWX$.
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find the measure of side c. a = 35 m (1 point) 40 18 70 50
70
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find the measure of side b. (1 point) 176 114 136 105
176
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graph the image of square difg after a dilation with a scale factor of …
The vertices of the dilated square are $G'(10,10)$, $I'(10,-10)$, $F'(-10,-10)$, $D'(-10,10)$. When plotted and connected, these form the image of the square after dilation.
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looking at the graph. the vertex is at point select answer the positive…
To solve this, we analyze each part by recalling the definitions: ### 1. Vertex: The vertex of a parabola (the graph here is a parabola) is the highest or lowest point (or the tur…
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sort the descriptions of the polygons. all of the side lengths shown ar…
To solve this, we use the concept of polygon construction: ### Key Concepts: - **Many different polygons**: For a set of side lengths, if we can rearrange the order of sides (or a…
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in this picture, b, d, and f are midpoints. ac = 50, ce = 60, and bd = …
70
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what do you notice about these triangles with the same three side lengt…
is only one unique triangle
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find the measure of side a. (1 point) options: 12, 14, 5, 10
10
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the purple and orange triangles are two of the triangles you just selec…
Yes
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in this picture, b, d, and f are midpoints. ac = 50, ce = 60, and bd = …
30
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∠1 and ∠2 are complementary angles. if ( mangle1 = (3x + 27)^circ ) and…
$36^\circ$
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9. write the equation of the line that is parallel to the line ( 5x - 4…
The equation of the line is \(y=\frac{5}{4}x + 12\) (or \(5x-4y=-48\))
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$\\angle 1$ and $\\angle 2$ are complementary angles. if $m\\angle 1 = …
$41^\circ$
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plan for success at the bottom: begin or end the flowchart, process, ac…
To solve this flowchart symbol matching problem, we analyze each symbol and its corresponding description: ### Step 1: Oval Shape The oval (rounded rectangle) is a standard flowch…
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the center of the circle is at (-1, 1). what is the equation of the cir…
D. $(x + 1)^2 + (y - 1)^2 = 16$
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39. (03.02 lc) some steps to construct an angle mnt congruent to angle …
Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
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38. (03.03 lc) parallelogram efgh has been reflected across the x - axi…
Reflection across the y-axis
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37. (03.01 lc) look at the planes abcd and efgh shown below: the two pl…
D. PQ
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36. (03.04 mc) the abc toy company is creating two similar pieces for a…
$12$
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what is the product of $2(cos(45^{circ}) + isin(45^{circ}))$ and $5(cos…
$10(\cos(75^\circ) + i\sin(75^\circ))$ Filled in the blanks: 10, 75, 75
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look at this graph: what is the equation of the axis of symmetry?
$x=0$
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classify each set of conditions by the possible number of triangles, if…
| Category | Conditions | |----------|------------| | More than one triangle can be formed | $m\angle A=90^\circ$, $m\angle B=30^\circ$, $m\angle C=60^\circ$ | | Exactly one trian…
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g.co.c.9 worksheet #1 15. circle (t)rue or (f)alse. a) $\\angle 1 \\con…
a) T b) F c) F d) T e) T f) F g) T h) T i) T j) F --- ### For Question 16 (Solve for x):
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special right triangles! directions: find each missing side. write all …
The path through the maze is: 1. Start triangle (bottom-left): $x=24$ → connect to $24$ 2. Triangle with $24\sqrt{6}$: $x=48\sqrt{2}$ → connect to "End!" The final solved values f…
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solve the inequality and graph the solution. -10 + 5d < 10 to draw a ra…
The solution to the inequality is \(d < 4\). To graph it, plot an open circle at 4 and draw an arrow to the left.
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h the point with the given slope. 3. (-8, 6); slope = \\(\frac{1}{4}\\)
The equation of the line is \(y=\frac{1}{4}x + 8\) (or \(y-6=\frac{1}{4}(x + 8)\))