Slope-Intercept Form Calculator

About this calculator

The slope-intercept form of a line, y = mx + b, expresses a linear equation in terms of its slope m (the rate of change, or “rise over run”) and its y-intercept b (where the line crosses the vertical axis). Given a slope and any single point on the line, b is found by rearranging the equation, since that point must satisfy it.

This form is one of the most commonly used ways to represent linear relationships because m and b can be read directly from a graph or a real-world scenario — for example, in a cost equation, m represents the per-unit cost and b represents a fixed starting cost — making it standard in algebra courses, linear regression trend lines, and any application that models a straight-line relationship between two variables.

This calculator takes a slope and one point on the line and returns the y-intercept along with the complete slope-intercept equation.