Answer:
y = [tex]\frac{-3}{2}[/tex]x -- 2
Step-by-step explanation
We need to fill out the formula y = mx + b.
First, we must find out what each part of that formula means.
mx = slope
b = y-intercept
y = solution (Always unknown)
We already know the slope of the formula, so we can fill that out.
y = [tex]\frac{-3}{2}[/tex]x + b
If it has a slope of -3/2, then that means it is moving down 3 points and moving to the right 2 points to find the next line. because rise over run.
If it passes through the point (-4, 4) then from their subtract 3 to 4, and 2 to -4.
This means the next point it will reach is (-2, 1). Once again, subtract 3 from 1, and add 2 to -2.
The next point it will reach is (0, -2) This gives us the y-intercept of the equation.
Now we can fill out the rest of the formula!
y = [tex]\frac{-3}{2}[/tex]x -- 2
