Question

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

Answer 1

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 = `( 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 = mx +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.