Slope Intercept Form Calculator
Slope-Intercept 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 1.000000; 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 = 1
- b = y − m·x = 0 − (1)(0) = 0
- Equation: y = 1x + 0
- Angle of inclination = arctan(1) = 45°
- Grade = m × 100 = 100%
- Parallel slope = 1; perpendicular slope = −1/m = -1
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
What the Slope-Intercept 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 Slope-Intercept 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
How to find the slope of y = mx + b?
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. Open “How this is worked out” beside the result to see each step for your own figures.
How do you convert to slope-intercept form?
It needs x₁, y₁ and Slope m. Nothing else is required, and the figures stay in your browser.
What is the slope of y =- 2x 4?
On the figures this page opens with — x₁ 1 and y₁ 2 — the slope (m) is 1. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.
How do you find the slope and y-intercept of a line?
The result gives Slope (m), y-intercept (b), x-intercept, Slope-intercept form, Point-slope form and Standard form, each labelled with its unit so the figure can be read on its own.
What information do I need for the Slope-Intercept Form Calculator?
You need x₁, y₁ and Slope m. The page opens with default figures that give slope (m) of 1.000000, so you can see the scale before entering your own.
What does this Slope-Intercept 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.