Question

find the slope of each function below and follow the instructions with each correct answer.
1.

x	y
-2	-17
-1	-9
0	-1
1	7
2	15

m = 1/8: write your name at the top of your paper orange
m = 8: write your name backwards at the top of your paper in purple
2.
m=-1/4: shade in quadrant 3 purple
m = - 4: shade in quadrant 1 purple

1. (-1,9) & (2,-12)

m=-21: draw a flying bat
m=-7: draw a jack - o - lantern
4.
m = 4: put an exclamation point after the wordslope
m = 5: put a question mark after the wordslope

1. (-3,5) & (6,11)

m = 1/3: draw an orange circle around the hardest question from row 1
m = 2: draw a black circle around the hardest question from row 1
6.

x	y
-12	-12
-6	-11
0	-10
6	-9
12	-8

m = 1/6: shade in every odd box green
m = 8: shade in every odd box orange
7.
m = 1: shade in quadrant 4 orange
m=-1: shade in quadrant 2 green
8.

x	y
1	-11
3	-7
5	-3
7	1
9	5

m = 4: draw a scary spider
m = 2: draw a nice spider

1. (4,-19) & (-2,14)

m=-5/2: draw green zigzags around the hardest question from row 2
m=-11/2: draw purple zigzags around the hardest question from row 2
10.
m=-2: draw a ghost
m=-1/2: write boo! in bubble letters

1. (-18,4) & (-15,5)

m = 1/3: draw a purple bat above the word that
m = 3: draw a purple bat above the word this
12.

x	y
-3	25
-2	14
-1	3
0	-8
1	-19

m=-11: shade in every even question orange
m=-8: shade in every even question purple

1. (-6,-2) & (-2,-12)

m=-5/2: draw green dots around the hardest question in row 3
m = 7/2: put orange zigzags around the hardest question in row 3
14.
m = 4: draw a 3 - eyed monster
m = 1/4: draw a 1 - eyed monster
15.

x	y
-1	4
2	22
5	40
8	58
11	76

m = 6: outline your name in your favorite halloween color
m = 18: draw a spiderweb next to your name
16.
m = 3: draw a ⓞ next to every question you feel confident on
m=-2: draw a ⓞ next to every question you are unsure on

Explanation:

1. For the first table (x -2, -1, 0, 1, 2; y -17, -9, -1, 7, 15):

• Explanation:
• Step1: Recall slope - formula
• The slope formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points, say \((x_1=-2,y_1 = - 17)\) and \((x_2=-1,y_2=-9)\).
• Step2: Calculate the slope
• \(m=\frac{-9-(-17)}{-1-(-2)}=\frac{-9 + 17}{-1 + 2}=\frac{8}{1}=8\).

1. For the points \((-1,9)\) and \((2,-12)\):

• Explanation:
• Step1: Identify the values for the formula
• Here \(x_1=-1,y_1 = 9,x_2 = 2,y_2=-12\).
• Step2: Apply the slope formula
• \(m=\frac{-12 - 9}{2-(-1)}=\frac{-21}{3}=-7\).

1. For the points \((-3,5)\) and \((6,11)\):

• Explanation:
• Step1: Identify \(x_1,y_1,x_2,y_2\)
• \(x_1=-3,y_1 = 5,x_2 = 6,y_2=11\).
• Step2: Calculate the slope
• \(m=\frac{11 - 5}{6-(-3)}=\frac{6}{9}=\frac{2}{3}\).

1. For the table (x -12, -6, 0, 6, 12; y -12, -11, -10, -9, -8):

• Explanation:
• Step1: Choose two points
• Let \(x_1=-12,y_1=-12\) and \(x_2=-6,y_2=-11\).
• Step2: Compute the slope
• \(m=\frac{-11-(-12)}{-6-(-12)}=\frac{-11 + 12}{-6 + 12}=\frac{1}{6}\).

1. For the points \((4,-19)\) and \((-2,14)\):

• Explanation:
• Step1: Determine the coordinates
• \(x_1 = 4,y_1=-19,x_2=-2,y_2 = 14\).
• Step2: Find the slope
• \(m=\frac{14-(-19)}{-2 - 4}=\frac{14 + 19}{-6}=\frac{33}{-6}=-\frac{11}{2}\).

1. For the points \((-18,4)\) and \((-15,5)\):

• Explanation:
• Step1: Identify the values
• \(x_1=-18,y_1 = 4,x_2=-15,y_2 = 5\).
• Step2: Calculate the slope
• \(m=\frac{5 - 4}{-15-(-18)}=\frac{1}{3}\).

1. For the table (x -3, -2, -1, 0, 1; y 25, 14, 3, -8, -19):

• Explanation:
• Step1: Select two points
• Let \(x_1=-3,y_1 = 25\) and \(x_2=-2,y_2 = 14\).
• Step2: Compute the slope
• \(m=\frac{14 - 25}{-2-(-3)}=\frac{14 - 25}{-2 + 3}=-11\).

1. For the points \((-6,-2)\) and \((-2,-12)\):

• Explanation:
• Step1: Note the coordinates
• \(x_1=-6,y_1=-2,x_2=-2,y_2=-12\).
• Step2: Calculate the slope
• \(m=\frac{-12-(-2)}{-2-(-6)}=\frac{-12 + 2}{-2 + 6}=\frac{-10}{4}=-\frac{5}{2}\).

1. For the table (x -1, 2, 5, 8, 11; y 4, 22, 40, 58, 76):

• Explanation:
• Step1: Pick two points
• Let \(x_1=-1,y_1 = 4\) and \(x_2=2,y_2 = 22\).
• Step2: Find the slope
• \(m=\frac{22 - 4}{2-(-1)}=\frac{18}{3}=6\).

Answer:

1. \(m = 8\)
2. \(m=-7\)
3. \(m=\frac{2}{3}\)
4. \(m=\frac{1}{6}\)
5. \(m=-\frac{11}{2}\)
6. \(m=\frac{1}{3}\)
7. \(m=-11\)
8. \(m=-\frac{5}{2}\)
9. \(m = 6\)