How do you write the equation of a line (in slope intercept form) with three given points?​

With even just two points, you can find the equation of a line in slope-intercept form.

Slope-intercept form: where is the slope and is the y-intercept

1) Solve for the slope ()

The equation to solve for the slope is when the two points are and . Plug the coordinates of these points into the equation and solve for .

Then, plug into .

1) Solve for the y-intercept ()

Then, take any of the given points and plug it into along with the slope. Isolate to get the y-intercept. Then, plug both m and b back into to get your final equation.

I hope this helps!