Point Slope Form Calculator
Point-Slope Form Calculator works out Slope (m) and y-intercept (b) from x₁, y₁ and Slope m. The default figures on this page give slope (m) of 2.000000; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
6 steps
- m = 2
- b = y − m·x = 3 − (2)(1) = 1
- Equation: y = 2x + 1
- Angle of inclination = arctan(2) = 63.43494882°
- Grade = m × 100 = 200%
- Parallel slope = 2; perpendicular slope = −1/m = -0.5
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
What the Point-Slope Form Calculator calculates
Finds the slope of a line from two points, a rise and run, an angle or a percent grade, then returns the slope-intercept, point-slope and standard forms plus the parallel and perpendicular slopes.
How to use this Point-Slope Form Calculator
Enter x₁, y₁ and Slope m. Slope (m) updates as you type. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Slope (m), y-intercept (b) and x-intercept.
The method follows Weisstein, Eric W. "Slope." MathWorld — m = (y₂ − y₁)/(x₂ − x₁), Weisstein, Eric W. "Line." MathWorld — slope-intercept, point-slope and standard forms and 2010 ADA Standards for Accessible Design §405.2 — ramp slope stated as a 1:12 run ratio.
What you can compare
Change one input at a time to see how it affects Slope (m), y-intercept (b) and x-intercept. The inputs you can vary are x₁, y₁ and Slope m.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
What information do I need for the Point-Slope Form Calculator?
You need x₁, y₁ and Slope m. The page opens with default figures that give slope (m) of 2.000000, so you can see the scale before entering your own.
What does this Point-Slope Form Calculator show?
It shows Slope (m), y-intercept (b), x-intercept, Slope-intercept form, Point-slope form, Standard form, Angle of inclination and Grade, with the working and any warnings for your entries.
Can I check how the Point-Slope Form Calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.