Calculate slope between two points, find y-intercept, and get the linear equation in slope-intercept and point-slope forms. Perfect for algebra and geometry problems.
This slope calculator finds the slope between two points, calculates the y-intercept, and outputs the linear equation in multiple forms. It also computes the distance between points, midpoint, and angle of inclination. All calculations happen in your browser — no data is sent to any server.
The slope formula is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are two points on the line. The slope represents the rate of change or steepness of the line.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). This is the most common way to express a linear equation.
The slope is undefined when x₂ = x₁ (a vertical line). This is because division by zero is undefined. A vertical line has the equation x = x₁.
The perpendicular slope is the negative reciprocal of the original slope. If the original slope is m, the perpendicular slope is -1/m (for m ≠ 0). For a horizontal line (m = 0), the perpendicular is a vertical line (undefined slope).