Question

A line passes through the point (–2, 4), and its y-intercept is (0, –6). What is the equation of the line that is perpendicular to the first line and passes through the point (5, –4)?

Answer 1

Find the slope of the original line.
Recall that perpendicular lines have negative reciprocal slopes. For example if line 1's slope is \(\large \frac{1}{2}\) , a line perpendicular to that would have a slope of \(-2\)