Slope intercept form

Question

write an equation in slope intercept form of the line through points S(-7,-6) and T(10,8) 

 

A. Y =-14/17x - 4/17

 

B. y =-14/17x+  4/17

 

C. y =14/17x + 4/17

 

D. Y=14/17x - 4/17

Answer 1

y = mx + b

 

-6 = -7m + b

8  = 10m + b

 

Subtract bottom equation from top equation and get m = 14/17

 

Then bottom equation gives b = 8 - 10m = 8 - 10(14/17) = -4/17

 

So y = (14/17)x - 4/17

 

The answer is (D).