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 - 2

through (7,8)

y = - \frac{1}{5} x + \frac{47}{5}

Find the equation of a line perpendicular to the line

y = 4 x - 6

through (-9,-8)

y = - \frac{1}{4} x - \frac{41}{4}

Find the equation of a line perpendicular to the line

y = 4 x - 9

through (-10,6)

y = - \frac{1}{4} x + \frac{7}{2}

Find the equation of a line parallel to the line

y = -4 x - 2

through (-2,-6)

y = - 4 x - 14