Equation of a Line given an equation of a line and a Point by Boxed Rockets

Parallel and Perpendicular Lines

Find the equation of a line perpendicular to the line

y = -4 x + 4

through (-9,-10)

y = \frac{1}{4} x - \frac{31}{4}

Find the equation of a line perpendicular to the line

y = - \frac{1}{3} x + 8

through (9,-1)

y = 3 x - 28

Find the equation of a line parallel to the line

y = - \frac{1}{3} x - 5

through (10,6)

y = - \frac{1}{3} x + \frac{28}{3}

Find the equation of a line perpendicular to the line

y = -2 x + 9

through (7,-1)

y = \frac{1}{2} x - \frac{9}{2}