Chapter 12.3, Problem 53E

Distance from a Point to a Line Use a scalar projection to show that the distance from a point $P_1\left(x_1,y_1\right)$ to the line $ax+by+c=0$ is

$\frac{\left|a{x}_1+b{y}_1+c\right|}{\sqrt{a^2+b^2}}$

Use this formula to find the distance from the point $(-2,3)$ to the line $3x-4y+5=0$ .