Directions: Use the slope formula to find the slope of the line that passes through each pair of points. 1....

Question

Directions: Use the slope formula to find the slope of the line that passes through each pair of points.
1. (6,3), (7,9)
2. (7,4), (1,-8)
3. (-9,2), (-6,3)
4. (-5,-6), (-3,-7)
5. (-2,-4), (4,-3)
6. (-2,-8), (-4,-2)
7. (-5,2), (-6,-1)
8. (7,-3), (7,5)
9. (-3,2), (-2,6)
10. (0,5), (-2,4)
11. (5,-5), (6,-7)
12. (-1,-9), (2,6)
13. (5,8), (0,7)
14. (7,-6), (6,0)
15. (0,-9), (-1,-9)
16. (-6,2), (0,1)
17. (8,-3), (-7,0)
18. (-5,-3), (7,0)
19. (5,8), (-1,10)
20. (6,-2), (4,6)
You must label your points and correctly plug them into the formula

SnapAndSolve AI · Accepted Answer

Slope Calculations Using the Slope Formula

The slope formula is given by: m = (y2 - y1) / (x2 - x1)

1. Points (6,3) and (7,9)

Using the points (x1,y1) = (6,3) and (x2,y2) = (7,9):

m = (9 - 3) / (7 - 6) = 6 / 1 = 6

2. Points (7,4) and (1,-8)

Using (x1,y1) = (7,4) and (x2,y2) = (1,-8):

m = (-8 - 4) / (1 - 7) = -12 / -6 = 2

3. Points (-9,2) and (-6,3)

Using (x1,y1) = (-9,2) and (x2,y2) = (-6,3):

m = (3 - 2) / (-6 + 9) = 1 / 3 = 1/3

4. Points (-5,-6) and (-3,-7)

Using (x1,y1) = (-5,-6) and (x2,y2) = (-3,-7):

m = (-7 + 6) / (-3 + 5) = -1 / 2 = -1/2

5. Points (-2,-4) and (4,-3)

Using (x1,y1) = (-2,-4) and (x2,y2) = (4,-3):

m = (-3 + 4) / (4 + 2) = 1 / 6 = 1/6

6. Points (-2,-8) and (-4,-2)

Using (x1,y1) = (-2,-8) and (x2,y2) = (-4,-2):

m = (-2 + 8) / (-4 + 2) = 6 / -2 = -3

7. Points (-5,2) and (-6,-1)

Using (x1,y1) = (-5,2) and (x2,y2) = (-6,-1):

m = (-1 - 2) / (-6 + 5) = -3 / -1 = 3

8. Points (7,-3) and (7,5)

Using (x1,y1) = (7,-3) and (x2,y2) = (7,5):

m = (5 + 3) / (7 - 7) = 8 / 0 = undefined (vertical line)

9. Points (-3,2) and (-2,6)

Using (x1,y1) = (-3,2) and (x2,y2) = (-2,6):

m = (6 - 2) / (-2 + 3) = 4 / 1 = 4

10. Points (0,5) and (-2,4)

Using (x1,y1) = (0,5) and (x2,y2) = (-2,4):

m = (4 - 5) / (-2 - 0) = -1 / -2 = 1/2

11. Points (5,-5) and (6,-7)

Using (x1,y1) = (5,-5) and (x2,y2) = (6,-7):

m = (-7 + 5) / (6 - 5) = -2 / 1 = -2

12. Points (-1,-9) and (2,6)

Using (x1,y1) = (-1,-9) and (x2,y2) = (2,6):

m = (6 + 9) / (2 + 1) = 15 / 3 = 5

13. Points (5,8) and (0,7)

Using (x1,y1) = (5,8) and (x2,y2) = (0,7):

m = (7 - 8) / (0 - 5) = -1 / -5 = 1/5

14. Points (7,-6) and (6,0)

Using (x1,y1) = (7,-6) and (x2,y2) = (6,0):

m = (0 + 6) / (6 - 7) = 6 / -1 = -6

15. Points (0,-9) and (-1,-9)

Using (x1,y1) = (0,-9) and (x2,y2) = (-1,-9):

m = (-9 + 9) / (-1 - 0) = 0 / -1 = 0

16. Points (-6,2) and (0,1)

Using (x1,y1) = (-6,2) and (x2,y2) = (0,1):

m = (1 - 2) / (0 + 6) = -1 / 6 = -1/6

17. Points (8,-3) and (-7,0)

Using (x1,y1) = (8,-3) and (x2,y2) = (-7,0):

m = (0 + 3) / (-7 - 8) = 3 / -15 = -1/5

18. Points (-5,-3) and (7,0)

Using (x1,y1) = (-5,-3) and (x2,y2) = (7,0):

m = (0 + 3) / (7 + 5) = 3 / 12 = 1/4

19. Points (5,8) and (-1,10)

Using (x1,y1) = (5,8) and (x2,y2) = (-1,10):

m = (10 - 8) / (-1 - 5) = 2 / -6 = -1/3

20. Points (6,-2) and (4,6)

Using (x1,y1) = (6,-2) and (x2,y2) = (4,6):

m = (6 + 2) / (4 - 6) = 8 / -2 = -4

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