### Home > INT3 > Chapter 4 > Lesson 4.3.3 > Problem4-92

4-92.

What is the distance from the point $(-5,-12)$ to the line $y=-\frac{5}{3}x+8$? Homework Help ✎

Use what you know about perpendicular slopes to write the equation of a line perpendicular to
the given line through the given point.

Find the intersection of the two lines you now have.

Find the distance from this intersection point to the given point.

The equation of the perpendicular line is:

$y = \frac{3}{5}(x+5) - 12$

The lines intersect at the point $(7.5,−4.5)$.