Question

Which equation is parallel to y = –3 x + 4 and passes through the point (–3 , 4)?

Answer 1

The equation given has a slope of -3. See it? The equation we are looking for must have the same slope because the lines are parallel to each other. This means the lines never meet or touch on the xy-plane.

We use the point-slope formula to find the equation.

Here is the point-slope formula:

y - y_1 = m(x - x_1)

y - 4 = -3(x - (-3))

y - 4 = -3(x + 3)

y - 4 = -3x - 9

We now isolate y to find our equation.

y = -3x - 9 + 5

y = -3x - 4

Done.