Find the value of "x" and "y" so that the line through the points has the given slope.

Question

1.) (x,-4) and (-2,9); slope: -13/3

2.) (x,6) and (1,9); slope: -3

3.) (9,3) and (x,1); slope: 1/6

4.) (x,-7) and (9,9); slope: 8/5

Answer 1

1.) (x,-4) and (-2,9); slope: -13/3

9--4 = -13

___ ___

-2 -x 3

13 = -13

------ -----

-2-x 3

39 = 26 + 13x

13 = 13x

x = 1

2.) (x,6) and (1,9); slope: -3

9 - 6 -3

------ = ---

1 - x 1

3 = -3

------ -----

1 - x 1

3 = -3 + 3x

6 = 3x

2 = x

3.) (9,3) and (x,1); slope: 1/6

1 - 3 = 1

------- ----

x - 9 6

-2 = 1

------ ----

x - 9 6

-12 = x - 9

-3 = x

4.) (x,-7) and (9,9); slope: 8

9---7 = 8

------ ----

9 - x 1

16 = 8

----- -----

9-x 1

16 = 72 - 8x

-56 = -8x

7 = x