Point Slope Form Calculator
y − y₁ = m(x − x₁), converted to every other form.
Enter your values
Enter the x₁ you are working with.
Enter the y₁ you are working with.
Enter the slope m you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- 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)
At a glance
| What it does | y − y₁ = m(x − x₁), converted to every other form. |
|---|---|
| Category | Math |
| Inputs needed | x₁, y₁, Slope m |
| Main output | Point-slope form |
| Formula | y − y₁ = m(x − x₁) |
| Cost | Free — no sign-up, no download |
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.
Inputs explained
- x₁
- Enter the x₁ you are working with.
- y₁
- Enter the y₁ you are working with.
- Slope m
- Enter the slope m you are working with.
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.
What do I need to enter into the Point Slope Form Calculator?
Just 3 values: x₁, y₁, slope m. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Point Slope Form Calculator work out the 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. It applies the formula y − y₁ = m(x − x₁) and shows the working so you can check each step by hand.
Is the Point Slope Form Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.