Question

The equation of a line is y=-2/3x-1 what is the equation of the line that is perpendicular to the first line and passes through (-4,3)

Answer 1

Given y=-2/3x-1, please present this as y=(-2/3)x-1 for clarity regarding the slope. Any line perpendicular to this line must have the slope 3/2.

Thus, the equation of the new line is

y - 3 = (3/2)(x+4).