What method can be used to write the equation of a line in slope-intercept form given two points?

slope intercept form is : y = mx + b
where m is the slope and b is the y-intercept.

The slope, m = (y' - y)/(x' - x)
Is found using the two pints.
The apostrophe is used to denote the other point, different from point (x,y).

once you have the slope, m for the equation y = mx + b ; use one of the points as (x,y) to solve for b.