Slope-Intercept Calculator
Point Coordinates
Point 1 (x₁, y₁)
Point 2 (x₂, y₂)
Coordinate Graph
P₁: indigoP₂: emerald
Step-by-Step Solution
1. Calculate slope (m): m = (y₂ - y₁) / (x₂ - x₁) = (9 - 3) / (4 - 1) = 6 / 3 = 2
2. Calculate y-intercept (b): b = y₁ - m · x₁ = 3 - (2)(1) = 1
3. Write slope-intercept form (y = mx + b): y = 2x + 1
4. Calculate x-intercept (set y = 0): 0 = mx + b ⇒ x = -b / m = -0.5 (-0.5, 0)
5. Distance between points: d = √(Δx² + Δy²) = √(3² + 6²) = 6.7082
Equation (y = mx + b)
Slope (m)
Y-Intercept (b)
X-Intercept
Guide
How It Works
Find the slope, y-intercept, and linear equation for any two points (x₁, y₁) and (x₂, y₂).
- Slope (m): Calculated as rise over run: m = (y₂ - y₁) / (x₂ - x₁).
- Y-Intercept (b): Solved using point-slope form: b = y₁ - m · x₁.
- Line Equation: Expressed in slope-intercept form as y = mx + b.