SAT

Two-Point Slope Explorer

Drag P₁ (green) and P₂ (yellow). The slope m = (y₂ − y₁) / (x₂ − x₁) updates live.

slope m = 1

Slope formula

m= y₂ − y₁x₂ − x₁

m= (2) − (1) (2) − (1)

m= 1 1 = 1

Points

P₁ (−2, 1)

P₂ (3, 4)

Fine drag (½-unit steps)

What this teaches. Slope = rise over run. The dashed triangle shows the rise (Δy) and run (Δx) directly. If you drag both points to the same x-value the line goes vertical and slope becomes undefined.