Question

Write in point slope form an equation of the line through each pair of points:

1.) (-2, 3) and (2, 9)
2.) (0, 7) and (3, 5)
3.) (-2, -3) and (2, -1)
4.) (-5, -2) and (-3, 8)
5.) (-12, 20) and (-21, 29)
6.) (11, 8) and (-2, -3)

Answer 1

Explanation:

1.) (-2, 3) and (2, 9)

let (-2, 3) be (x1,y1) and (2, 9) be (x2,y2)

slope (m)=y2-y1

x2-x1

=9-3

2-(-2)

=9-3

2+2

=6

4

=3

2

2.) (0, 7) and (3, 5)

let (0,7) be (x1,y1) and (3,5) be (x2,y2)

slope (m)=y2-y1

x2-x1

=5-7

3-0

=-2

3

3.) (-2, -3) and (2, -1)

let (-2, -3) be (x1,y1) and (2, -1) be (x2,y2)

slope (m)=y2-y1

x2-x1

=-1-(-3)

2-(-3)

=1+3

2+3

=4

5

4.) (-5, -2) and (-3, 8)

let (-5,-2) be (x1,y1) and (-3,8) be (x2,y2)

slope (m)=y2-y1

x2-x1

=8-(-2)

-3-(-5)

=8+2

-3+5

=10

2

=5

5.) (-12, 20) and (-21, 29)

let (-12,20) be (x1,y1) and (-21,29) be (x2,y2)

slope (m)=y2-y1

x2-x1

=29-20

-21-(-12)

=29-20

-21+12

=9

-9

=-1

6.) (11, 8) and (-2, -3)

let (11,8) be (x1,y1) and (-2,-3) be (x2,y2)

slope (m)=y2-y1

x2-x1

=-3-11

-2-8

=-8

-10

=4

-5