Line Equation from Two Points

Find the slope-intercept equation through two points.

Equation y = 2x + 0

Slope (m) 2

y-intercept (b) 0

Formula: y = mx + b

Step-by-step with your numbers:

1. Values used:

2. x₁ = 1

3. y₁ = 2

4. x₂ = 3

5. y₂ = 6

7. Equation = y = 2x + 0

8. Slope (m) = x₁ x y₁ = 1 x 2 = 2

9. y-intercept (b) = 0

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Build the equation of the line through two points.

The math behind it

slope m = (y₂−y₁)/(x₂−x₁); intercept b = y₁ − m·x₁; equation y = mx + b.

(1,2) & (3,6) → y = 2x + 0.

Vertical line?

Slope is undefined; the equation is x = constant.