Point-Slope Form Examples

Find the equation of the line shown below in point-slope form.

Let's pick the point on the left to be (x₁, y₁), so x₁ = -2 and y₁ = 2:

Now we need to calculate m. We do this by finding the rise and run between the two points:

Now we know:

We're feeling kinda decimal-ish right now, so we can rewrite the slope as m = -1.5 (either way is fine). That means our equation is:

y – y₁ = m(x – x₁)

y – 2 = -1.5(x + 2)