Which of the following equations describe the line (-6, 2) (-1, -4)? (graph below) a. y - 4 = -5/6(x - 1) b. y - 2 = -5/6(x + 6) c. y + 4 = -6/5(x + 1) d. y + 4 = -5/6(x + 1) e. y - 2 = -6/5(x + 6) f. y - 6 = -6/5(x + 2)

I notice that all the choices are written in Point-Slope Formula. This is a key factor in answering your question. 

So usually we solve for slope, plug into point-slope form, then solve for slope intercept.

We only have to do the first 2 steps: 

Formula for slope: 
Plug in values: 
Slope: 
Point-slope formula:  where m is equivalent to slope. 
Plug in values:  

We can also rewrite the equation like this using the other coordinates. 

Plug in value: