Question

Write the formula for the perpendicular distance of a point from a line.

Answer 1

Formula for the perpendicular distance of a point from a line.

Consider a line $L:Ax+By+C=0$whose distance from the point $P(x_1,y_1)$ is $d$.
Thus, the formula for finding the perpendicular distance of a point from a line is:
$d=\frac{|A{x}_1+B{y}_1+C|}{\sqrt{A^2+B^2}}$

Therefore, the formula for finding the perpendicular distance of a point from a line is:
$d=\frac{|A{x}_1+B{y}_1+C|}{\sqrt{A^2+B^2}}$