QUESTION IMAGE
Question
find the slope between the two points:
(-2, 5) and (4, 8)
find the slope of the line
y = - 4
find the slope of the line
y = 23x - 7
find the slope of the table
x | y
-1 | 0
0 | 5
1 | 10
2 | 15
find the slope of the table
x | y
3 | 10
2 | 16
1 | 22
0 | 28
find the slope of the graph
graph
find the slope between the two points:
(1, -3) and (5, 9)
find the slope of the graph
graph
where does a ghost go on vacation?
\ 5 0 1 ½ 3 -6 -2 23!\
Step1: Slope for (-2,5) & (4,8)
Use slope formula: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-5}{4-(-2)}=\frac{3}{6}=\frac{1}{2}$
Step2: Slope for $y=-4$
Horizontal line slope: $m=0$
Step3: Slope for $y=23x-7$
Slope from $y=mx+b$: $m=23$
Step4: Slope for first table
Use two points: $m=\frac{5-0}{0-(-1)}=\frac{5}{1}=5$
Step5: Slope for second table
Use two points: $m=\frac{16-10}{2-3}=\frac{6}{-1}=-6$
Step6: Slope for first graph
Use $(0,0)$ & $(10,10)$: $m=\frac{10-0}{10-0}=1$
Step7: Slope for (1,-3) & (5,9)
Use slope formula: $m=\frac{9-(-3)}{5-1}=\frac{12}{4}=3$
Step8: Slope for second graph
Downward horizontal line slope: $m=0$
Step9: Match values to blanks
Map results:
$m=5$ (1st blank), $o=0$ (2nd), $l=1$ (3rd), $\frac{1}{2}$ (4th), $a=23$ (5th), $-=3$ (6th), $b=-6$ (7th), $l=0$ (8th)
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"BOO LAGOON!"
(Matched values: 5, 0, 1, $\frac{1}{2}$, 23, 3, -6, 0 correspond to B, O, O, L, A, G, O, O/N respectively forming the phrase)
Individual Slope Answers:
- Between (-2,5) and (4,8): $\frac{1}{2}$
- Line $y=-4$: $0$
- Line $y=23x-7$: $23$
- First table: $5$
- Second table: $-6$
- First graph: $1$
- Between (1,-3) and (5,9): $3$
- Second graph: $0$