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 parallel to the line

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

through (-6,4)

y = \frac{1}{3} x + 6

Find the equation of a line parallel to the line

y = -2 x - 2

through (-4,8)

y = - 2 x 0

Find the equation of a line parallel to the line

y = 5 x - 1

through (-8,-4)

y = 5 x + 36

Find the equation of a line perpendicular to the line

y = -4 x + 7

through (3,-9)

y = \frac{1}{4} x - \frac{39}{4}