Gradient Calculator

Find the gradient (slope) of the line through two points.

Gradient 2

Angle (°) 63.435

Formula: gradient = (y₂ − y₁) ÷ (x₂ − x₁)

Step-by-step with your numbers:

1. Values used:

2. x₁ = 1

3. y₁ = 1

4. x₂ = 4

5. y₂ = 7

7. Gradient = x₁ + y₁ = 1 + 1 = 2

8. Angle = 63.435°

Did we solve your problem today?

Gradient is another word for slope — how steeply a line rises or falls.

The math behind it

gradient = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁). A vertical line has an undefined gradient.

(1, 1) to (4, 7) → gradient 6/3 = 2.

Is gradient the same as slope?

Yes — 'gradient' is the common term in British maths for a line's slope.