Question

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).

Answer 1

So point-slope form is (y-y1) = m(x-x1). So first find m. m = (y2-y1) / (x2-x1) So for your problem m = (-4-2) / (1--8) = -6/9 = -2/3. Then plug the slope and a point into the point-slope equation so you can either get: y-2 = (-2/3)*(x+8) or y+4 = (-2/3)*(x-1). Both are valid.

Hope this helps!