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 = -5 x - 1

through (1,-1)

y = \frac{1}{5} x - \frac{6}{5}

Find the equation of a line perpendicular to the line

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

through (-9,6)

y = - 3 x - 21

Find the equation of a line perpendicular to the line

y = \frac{1}{2} x + 5

through (-2,6)

y = - 2 x + 2

Find the equation of a line perpendicular to the line

y = 2 x + 4

through (9,6)

y = - \frac{1}{2} x + \frac{21}{2}