About the Point-Slope Form Calculator
Write the equation of a line from one point and a slope in point-slope, slope-intercept and standard forms.
Also known as: point slope calculator, point slope formula, line from point and slope.
How to use this calculator
- Enter x₁, y₁, slope m.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
y − y₁ = m(x − x₁)
Worked example
Using the values pre-filled in the calculator above:
- x₁ = 3
- y₁ = -2
- Slope m = 1.5
the calculator returns:
- Point-slope form: y − (-2) = 1.5(x − (3))
- Slope-intercept form: y = 1.5x − 6.5
- y-intercept: -6.5
- x-intercept: 4.33333333