📏 Slope Calculator
Slope through (2, 3) and (6, 11)
m = 2
Rising (positive slope)
- Slope-intercept form
- y = 2x − 1
- Angle of inclination
- 63.4349°
- Distance
- 8.944272
- Midpoint
- (4, 7)
| Point-slope form | y − 3 = 2(x − 2) |
| Standard form | 2x − y = 1 |
| y-intercept | (0, −1) |
| x-intercept | (0.5, 0) |
| Rise (Δy) / run (Δx) | 8 / 4 |
| Grade (slope × 100) | 200% |
| Perpendicular line through point 1 | y = −0.5x + 4 |
Step by step
- Rise: Δy = y₂ − y₁ = 11 − 3 = 8
- Run: Δx = x₂ − x₁ = 6 − 2 = 4
- Slope: m = Δy ÷ Δx = 8 ÷ 4 = 2
- y-intercept: b = y₁ − m·x₁ = 3 − 2 × 2 = −1
- Equation: y = 2x − 1
- Angle: θ = arctan(2) = 63.4349°
- Distance: √(4² + 8²) = √80 = 8.944272
- Midpoint: ((2 + 6) ÷ 2, (3 + 11) ÷ 2) = (4, 7)