### Home > INT3 > Chapter 2 > Lesson 2.2.4 > Problem2-96

2-96.

What is the distance from the point $(4,5)$ to the line $y=2x+3$?

Sketch the line that is perpendicular to the given line and passes through $(4,5)$.

Use what you know about perpendicular slopes to write the equation of this new line.

$y=-\frac{1}{2}x+7$

Find the intersection point of the two perpendicular lines.

Find the distance from the intersection point to $(4,5)$.