📏 Point Slope Form Calculator

Convert between line equation forms

Point (x₁, y₁)

How to Use This Calculator

1

Enter Slope

Input the slope m of the line.

2

Enter Point

Input coordinates (x₁, y₁) of a point on the line.

3

Calculate

Press "Calculate Line Equation" to get point-slope, slope-intercept, and standard forms.

Formula

Point-Slope Form: y - y₁ = m(x - x₁)

Slope-Intercept: y = mx + b (b = y₁ - mx₁)

Standard: Ax + By = C

About Point Slope Form Calculator

The Point Slope Form Calculator converts line equations between point-slope form, slope-intercept form, and standard form. Point-slope form is useful when you know a point and the slope.

When to Use This Calculator

  • Geometry: Convert between line equation forms
  • Mathematics: Work with different line representations
  • Education: Learn line equation conversions

Frequently Asked Questions

What is point-slope form?

Point-slope form is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. It's useful when you know a point and the slope.

How do I convert point-slope to slope-intercept?

Expand: y - y₁ = m(x - x₁) becomes y = mx - mx₁ + y₁, so y = mx + b where b = y₁ - mx₁.