SOLUTION: find the missing value for the given slope. (x,17)and(-20,-4);slope:7/6

Algebra ->  Linear-equations -> SOLUTION: find the missing value for the given slope. (x,17)and(-20,-4);slope:7/6      Log On


   

Question 995435: find the missing value for the given slope.
(x,17)and(-20,-4);slope:7/6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

(x%5B1%5D,x%5B2%5D)=(x,17)
and
(x%5B2%5D,y%5B2%5D)=(-20,-4)

slope:m=7%2F6

use formula for slope:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
7%2F6=%28-4-17%29%2F%28-20-x%29
7%2F6=%28-21%29%2F%28-20-x%29
7%2F6=-21%2F%28-20-x%29........cross multiply

7%28-20-x%29=-21%2A6
-140-7x=-126
-140%2B126=7x
-14=7x
x=-14%2F7
x=-2
so, your point is (-2,17)