Answer:
Step-by-step explanation:
The point-slope form of an equation is given by

where (x0, y0) is a point on the line and m is the slope.
A line that is parallel to y = -3/2 x +1 has the same slope, namely -3/2; therefore, we know that our equation must look like

where (y0, x0) is a point hitherto unknown.
Furthermore, we also know that the line passes through the point (-4, 2) and therefore, we set (x0, y0) = (-4, 2) - this gives

which is our equation in point-slope form. However, we are asked to convert it into the standard form.
Expanding out the right-hand side gives

adding 3/2 x to both sides gives

Finally, adding 2 to both sides gives


which is our answer!