Find the equations for the lines through the point (a,c.that are parallel to and perpendicular to the line y = mx + b where m ≠ 0. use y for the dependent variable and all letters in lower case.

the slope of the perpendicular line  is -1/m.

it passes through the point (a,c) therefore:-

y - c = -1/m(x - a)

y  = -1/m x + a/m + c  answer


Parallel line:-

c = m(a) + b
b = c - ma

y = mx + c - ma    Answer