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?

  b = m(Px) -(Py)

Step-by-step 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)

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

Step-by-step explanation:

I have OCD & got it correct.

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11