Question

Sergio wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line h. First he finds the slopes of these 2 lines. What could he do next to find the y-intercepts?

Answer 1

Substitute the slope and the coordinates of point P in y = mx + b and then solve for b for each equation.

Explanation:

I have OCD & got it correct.

Answer 2

b = m(Px) -(Py)

Explanation:

Solving the equation ...

y = mx + b

for b gives ...

b = mx - y

If the given point is (Px, Py), Sergio can find the y-intercepts using this equation.

For each slope (m), the corresponding y-intercept is ...

b = m(Px) -(Py)