Write an equation of the line that passes through (−4,−1) and is perpendicular to the line y=43x+6.

Answer 1

Perpendicular lines and slopes that are negative reciprocals.

The slope fo the given line is m=43

The slope of the perpendicular line is (-1/43)

x=-4 and y=-1 from the given point

B = y - mx = -1 - (-1/43)(-4)

= -1 - 4/43

= -43/43 - 4/43

= -47/43

y = (-1/43)x - 47/43