Question

FIND THE DISTANCE BETWEEN POINT AND A LINE

Answer 1

Call the point \((a,b)\) and the line \(y=cx+d\).

The distance from the point to any point on the line is
\[d=\sqrt{(x-a)^2+(y-b)^2}\]
Substituting for y, you have
\[d=\sqrt{(x-a)^2+(cx+d-b)^2}\]