What is the equation of the line that passes through the points (-6,2) and (4,-3)

The equation is:  9x-y = 56

Step-by-step explanation:

Given two point:  (x,y) = (-6,2)

                            (x,y) = (4,-3)

Now, to find the slope of the line:

Slope =   y1-y2/x1-x2  => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=>   y-y1 = m(x-x1)

=>   y-2 =  -1/9(x-6)

=>  1(y-2) = -9(x-6)

=>  y-2 = -9x+54

=>  9x-y = 56

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: