How to Find the Y Intercept with two points

Posted by
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 \dpi{150} \mathbf{Y-Y_{1} = m(X-X_{1})}.

Steps

  1. Calculate the slope from 2 points.

     \dpi{150} Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}

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