15 points - !

what method can be used to write the equation of a line in slope-intercept form given two points? (answers below)

The first choice is correct.

Explanation:

The formula for slope is m=(y₂-y₁)/(x₂-x₁). Once we find the slope using that formula, it goes in place of m in y=mx+b.

We do not yet have the y-intercept, but we can use one of the points to find it. We substitute the x-coordinate of one point in for x and the y-coordinate of the same point in for y; then we solve for b. This gives us the y-intercept.