Math

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Point-Slope Form Calculator.

Build a line equation from a point and slope.

On-device calculationNo signup
01

Set your values

Results update as you type.

slope: 4

slope

0.000000
Intercept: -5

Intercept

0.000000
Equation: y − 3 = 4(x − 2)

Equation

y − 3 = 4(x − 2)

Results update automatically as you type.

Use Cases

Quickly write line equations for homework

When you have a point and slope, this calculator gives you the equation instantly, saving time and reducing errors.

Example: Given point (2,3) and slope 4, get y - 3 = 4(x - 2).

Check your algebra work

Verify that the equation you derived manually is correct by comparing it with the calculator's output.

Example: Check if your equation matches for point (-1,5) and slope -2.

Frequently Asked Questions

What is the point-slope form of a line?
The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope. It's useful when you know one point and the slope.
How do I use this calculator?
Enter the x-coordinate (x₁) and y-coordinate (y₁) of a point on the line, and the slope (m). The calculator will output the equation in point-slope form.
Can I use this calculator for vertical lines?
No, vertical lines have an undefined slope, which cannot be entered. For vertical lines, use the equation x = constant.

Tips & Common Mistakes

Tips

  • Ensure the slope is entered as a decimal or fraction. For fractions, use the division symbol (e.g., 3/4).
  • Double-check that the point coordinates are correct; a small typo can change the entire equation.
  • Remember that the point-slope form can be converted to slope-intercept form (y = mx + b) by solving for y.
  • If the slope is zero, the line is horizontal, and the equation simplifies to y = y₁.

Common Mistakes to Avoid

  • Mixing up the order of x₁ and y₁ when entering coordinates.
  • Entering the slope as a percentage instead of a decimal or fraction.
  • Forgetting that the point-slope form uses subtraction: y - y₁ = m(x - x₁), not addition.

Last updated: August 13, 2026