Distance From a Point to a Line ....................................

Given a point (x, y) and the equation of a line y=mx+b, there are many ways to find the distance d from the point to the line.
To explain each method, we'll use the example shown here, where the point is (4, 1) and the line is y=2x+4.

Method 1: Find the equations of both lines
Method 2: Trigonometry
Method 3: Find the area of a triangle using coordinates
Method 4: Find the area of a triangle using Heron's formula
Method 5: Use a one-step formula

There are other methods as well; we've shown the most common ones here.

Sr High Math | Science & Math | Worsley School