To find the distance from a point to a line, we first need to:

1. Find a perpendicular line to our original line

2. Find the point where the two lines intersect

3. Use the distance formula to find the distance between

the point of intersection and the original point

To find the perpendicular line:

  1. Find the slope

    a. Negative reciprocal of the original line

  2. Find the y-intercept.

Plug in a point to solve for b(y-intercept)

You can use substitution to find the intersection point of your two equations.

Use the distance formula to find the distance between the intersection and the original points.

distance from point to a line