How do I write an equation with two points on the same line? (15,17) and (20,24) are on the same line. Write the equation of the line.

Step-by-step explanation:

First, find the slope between the points.

m = (y₂ − y₁) / (x₂ − x₁)

m = (24 − 17) / (20 − 15)

m = 7/5

Next, write the equation in point-slope form, using either of the points.

y − 17 = 7/5 (x − 15)

If desired, simplify.

y − 17 = 7/5 x − 21

y = 7/5 x − 4