How to Find the Y Intercept with two points

Last updated on February 2nd, 2022

The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis. There are a few different ways to find the y-intercept with 2 points. Here is how you can find the Y-intercept with the equation from 2 points using the slope-intercept form. 

Equation from 2 points using Slope-Intercept Form

The Y-intercept with 2 points can be solved using the slope-intercept form in the equation. The point-slope form is .

Steps

1. Calculate the slope from 2 points.

    

   For Example, Two points are (3, 5) and (6, 11)

2. Substitute the slope(m) in the slope-intercept form of the equation.

   
   

3. Substitute either point into the equation. You can use either (3,5) or(6,11).
   

4. Solve for b, which is the y-intercept of the line.

5. Substitute b,  into the equation.