Point-Slope Form Calculator (Free, With Steps)
Enter a point and a slope, or two points, and this calculator writes the line in point-slope form, slope-intercept form, and standard form. It shows every step and keeps answers as exact fractions.
Show the steps
How to Use This Calculator
It’s built to be quick. Pick the tab that matches what you know, type your numbers, and read the results. You don’t have to press a button, because it updates as you type.
- Point + Slope tab: enter the point’s x₁ and y₁, then the slope m. You can type the slope as a whole number, a decimal, or a fraction like 3/4.
- Two Points tab: enter both points. The calculator finds the slope for you, then writes the equation.
How the Calculator Works
Under the hood it uses the point-slope formula, y − y₁ = m(x − x₁). When you give it two points, it first calculates the slope with m = (y₂ − y₁) / (x₂ − x₁), then substitutes. Because it works with exact fractions rather than decimals, you won’t see rounding errors creep in.
Output Formats
Every calculation returns three equivalent equations, so you can hand in whichever your assignment asks for:
- Point-slope form: y − y₁ = m(x − x₁)
- Slope-intercept form: y = mx + b
- Standard form: Ax + By = C, with integer coefficients
Want to see the method by hand? Read how to find point-slope form, work through ten solved examples, or learn how to convert between forms.