Dont let the subscripts scare you. 12 52 - 1 2 - 5 2. Distance x 2 x 1 2 y 2 y 1 2.
Find the distance between a point and a line using the point 51 and the line y 3x 2.
The Pythagorean Theorem latexa2b2c2latex is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle and c is the length of the hypotenuse. Rewrite y 3x 2 as ax by c 0. The denominator of this expression is the distance between P 1 and P 2. Then plug the coordinates into the distance formula.