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 - 5

through (-4,3)

y = \frac{1}{4} x + 4

Find the equation of a line perpendicular to the line

y = -3 x + 4

through (-8,-1)

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

Find the equation of a line perpendicular to the line

y = - \frac{2}{3} x - 1

through (5,6)

y = \frac{3}{2} x - \frac{3}{2}

Find the equation of a line perpendicular to the line

y = \frac{3}{5} x - 10

through (-4,-3)

y = - \frac{5}{3} x - \frac{29}{3}