Let’s solve this step by step.
We are given pairs of points and asked to find the slope between them.
The formula for slope between two points (x₁, y₁) and (x₂, y₂) is:
Slope = (y₂ - y₁) / (x₂ - x₁)
We’ll go through each pair one by one, calculate carefully, and write down the answer.
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1. Points: (-3, 5), (5, 6)
Slope = (6 - 5) / (5 - (-3)) = 1 / 8 →
1/8
2. Points: (-4, 1), (7, 10)
Slope = (10 - 1) / (7 - (-4)) = 9 / 11 →
9/11
3. Points: (-3, 5), (8, 6)
Slope = (6 - 5) / (8 - (-3)) = 1 / 11 →
1/11
4. Points: (0, 6), (2, 4)
Slope = (4 - 6) / (2 - 0) = (-2)/2 =
-1
5. Points: (7, 7), (2, 13)
Slope = (13 - 7) / (2 - 7) = 6 / (-5) =
-6/5
6. Points: (10, 15), (12, 3)
Slope = (3 - 15) / (12 - 10) = (-12)/2 =
-6
7. Points: (14, 6), (-8, 2)
Slope = (2 - 6) / (-8 - 14) = (-4)/(-22) =
2/11
8. Points: (-10, -8), (20, 6)
Slope = (6 - (-8)) / (20 - (-10)) = 14 / 30 =
7/15
9. Points: (2, -3), (19, -3)
Slope = (-3 - (-3)) / (19 - 2) = 0 / 17 =
0
10. Points: (7, 7), (-2, -5)
Slope = (-5 - 7) / (-2 - 7) = (-12)/(-9) =
4/3
11. Points: (-3, -7), (-2, -1)
Slope = (-1 - (-7)) / (-2 - (-3)) = 6 / 1 =
6
12. Points: (-9, -4), (13, 7)
Slope = (7 - (-4)) / (13 - (-9)) = 11 / 22 =
1/2
13. Points: (15, -14), (7, -4)
Slope = (-4 - (-14)) / (7 - 15) = 10 / (-8) =
-5/4
14. Points: (-10, 7), (8, -8)
Slope = (-8 - 7) / (8 - (-10)) = (-15)/18 =
-5/6
15. Points: (1, -7), (1, 9)
Slope = (9 - (-7)) / (1 - 1) = 16 / 0 →
Undefined (vertical line)
16. Points: (2, -7), (1, -9)
Slope = (-9 - (-7)) / (1 - 2) = (-2)/(-1) =
2
17. Points: (10, 7), (2, 9)
Slope = (9 - 7) / (2 - 10) = 2 / (-8) =
-1/4
18. Points: (-9, -7), (-5, 1)
Slope = (1 - (-7)) / (-5 - (-9)) = 8 / 4 =
2
19. Points: (-9, 8), (-6, 2)
Slope = (2 - 8) / (-6 - (-9)) = (-6)/3 =
-2
20. Points: (-1, -7), (5, 8)
Slope = (8 - (-7)) / (5 - (-1)) = 15 / 6 =
5/2
21. Points: (6, 6), (-10, 4)
Slope = (4 - 6) / (-10 - 6) = (-2)/(-16) =
1/8
22. Points: (-5, -12), (-10, 5)
Slope = (5 - (-12)) / (-10 - (-5)) = 17 / (-5) =
-17/5
23. Points: (-1, 8.5), (6, 1.5)
Slope = (1.5 - 8.5) / (6 - (-1)) = (-7)/7 =
-1
24. Points: (0.5, 5.5), (2, 5)
Slope = (5 - 5.5) / (2 - 0.5) = (-0.5)/1.5 =
-1/3
25. Points: (-3, -5.5), (7, -4.5)
Slope = (-4.5 - (-5.5)) / (7 - (-3)) = 1 / 10 =
1/10
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Final Answer:
1. 1/8
2. 9/11
3. 1/11
4. -1
5. -6/5
6. -6
7. 2/11
8. 7/15
9. 0
10. 4/3
11. 6
12. 1/2
13. -5/4
14. -5/6
15. Undefined
16. 2
17. -1/4
18. 2
19. -2
20. 5/2
21. 1/8
22. -17/5
23. -1
24. -1/3
25. 1/10
Parent Tip: Review the logic above to help your child master the concept of finding slope from two points on a graph worksheet.
