What is the equation of the line that passes through the point (-8,-6) and
has a slope of 1/4

y = 1/4x -4

Step-by-step explanation:

Since you know that that slope int. equation is y = mx+b, and the m is the slope just plug in the slope in the equation. So it will be y = 1/4x + b.

Then what you will do is solve for b in the equation. So what you do is plug in the x and y value from the coordinate given in the equation, so it will be like this:  -6 = 1/4(-8) +b

                -6 = -2 +b

                -4 = b

                  b = -4

So then you plug back the b value into the equation with slope to wtite the equation. So it would be, y = 1/4x -4

step-by-step explanation: yes