Question

Write the equation of the line that is parallel to the line 4x – 3y = −12 and passes through the point (−3, 4).

Answer 1

The first step here would be to turn\[4x-3y=-12\]into a form that is simpler to understand, like this:\[y=\frac{4}{3}x+4.\]Now you know what your slope should be. Plug the things you know into the slope-point equation:\[y=m(x-x_1)+y_1,\]\[y=\frac{4}{3}(x+3)+4,\]\[y=\frac{4}{3}x+8.\]