SOLUTION: find the valueof r so the line that passesthough each pair of points has the given slopee. (6,-2),(r,-6),m=4

Question 536193: find the valueof r so the line that passesthough each pair of points has the given slopee. (6,-2),(r,-6),m=4
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
m = change in y / change in x
m = 4
m = (-2-(-6) / (6-r)
4 = 4/(6-r)
.
cross multiply
.
4(6-r) = 4
24 -4r = 4
-4r = -20
r = 5
.
y = mx +b
.
We know m = 4, so
.
y = 4x + b
.
Use the point (6,-2) to find 'b'.
-2 = 4*6 + b
b = -26
.
y = 4x -26
.
Use the other point (5,-6) to check the solution.
-6 = 4*5 -26
Correct.
.

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