CPM Homework Help : INT3 Problem 2-96

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

Step 1:

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

Step 2:

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

Answer:

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

Step 3:

Find the intersection point of the two perpendicular lines.

Step 4:

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