You enter two coordinate points (x₁, y₁) and (x₂, y₂). The tool computes slope as rise over run (Δy/Δx), the y-intercept using b = y₁ − m·x₁, and writes the equation in slope-intercept form. It also calculates the Euclidean distance with the distance formula, the midpoint by averaging coordinates, and the angle via the arctangent function. Vertical lines (where x₁ = x₂) show slope as "undefined."
An undefined slope occurs when both points have the same x-coordinate, making the line perfectly vertical. Division by zero (Δx = 0) means the slope formula cannot produce a finite number. The equation is expressed as x = constant instead of y = mx + b.
Slope is the ratio of vertical change to horizontal change (rise/run), while angle measures the rotation from the positive x-axis in degrees. They are related by the formula: angle = arctan(slope). A slope of 1 corresponds to a 45° angle.
Yes. Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals (m₁ × m₂ = −1). Calculate the slope here, then use it to determine parallel or perpendicular relationships.
The distance formula is derived from the Pythagorean theorem: d = √((x₂−x₁)² + (y₂−y₁)²). It calculates the length of the hypotenuse of a right triangle formed by the horizontal and vertical differences between the two points.
Estimate only. Results reflect your inputs and standard formulas. Double-check important decisions independently.