Point Slope Form Calculator
y − y₁ = m(x − x₁), converted to every other form.
Enter your values
ⓘ Live results
Results
- Point-slope form
- y + 3 = 2.5(x − 4)
- Slope-intercept form
- y = 2.5x − 13
- Standard form
- 2.5x − y + 13 = 0
- y-intercept
- -13
- x-intercept
- 5.2
- Perpendicular slope
- -0.4
Quick answer
Point-slope form writes a line as y − y₁ = m(x − x₁) using any point on it and the slope — the fastest form when you know one point.
y − y₁ = m(x − x₁)
How to use the Point Slope Form Calculator
- 1Enter any point that lies on the line.
- 2Enter the slope.
- 3Copy whichever form your assignment or software expects.
Worked example
Using the values the calculator loads with:
Inputs
- x₁4
- y₁-3
- Slope m2.5
Results
- Point-slope formy + 3 = 2.5(x − 4)
- Slope-intercept formy = 2.5x − 13
- Standard form2.5x − y + 13 = 0
- y-intercept-13
- x-intercept5.2
- Perpendicular slope-0.4
Frequently asked questions
Which point should I use?
Any point on the line works — the different-looking equations all simplify to the same slope-intercept form.
How do I get a perpendicular line?
Use the negative reciprocal slope shown here with the same point.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.