### Home > INT2 > Chapter 5 > Lesson 5.1.1 > Problem5-15

5-15.

Use what you know about the slopes of parallel and perpendicular lines to write the equation of each line described below.

1. Write the equation of the line that goes through the point $(2,-3)$ and is perpendicular to the line $y=-\frac{2}{5}x+6$.

Recall that perpendicular lines have slopes that are opposite reciprocals.

Use the perpendicular slope and the given point in the equation $y=mx+b$ to solve for $b$.

$y=\frac{5}{2}x-8$

2. Write the equation of the line that is parallel to the line $-3x+2y=10$ and goes through the point $(4,7)$.

Rewrite the equation in $y=mx+b$ form.
What do you know about the slopes of parallel lines?