# How do you write an equation in slope intercept form given two points?

May 29, 2018

Use the differences in the y and x values to find the slope then substitute the values of one point into the equation to find b the y intercept.

#### Explanation:

Slope = $\frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}} = m$

By putting the x and y values for the two points into the slope equation the value for m can be found.

The equation of a line in the slope intercept form is

$y = m x + b$

After finding m using the slope equation substitute one set of point values for y and x. This leaves b as the only unknown. Slope the resulting equation for b.