Line Equation Calculator - Find the Equation from Two Points

Line Equation from Two Points Calculator

Our Line Equation Calculator helps you find the equation of a line when two points are known. Whether you're a student learning algebra or a professional needing quick results, this tool makes it easy to calculate the slope and intercept and express the equation in both slope-intercept form (y = mx + b) and standard form (Ax + By = C).

How It Works

Simply enter the coordinates of two points on a Cartesian plane - \((x_1,\, y_1)\) and \((x_2,\, y_2)\). The calculator then uses the standard slope formula:

     \( m = (y_2 - y_1) / (x_2 - x_1)\)
    

It computes the slope (m) and then finds the y-intercept (b) to provide the final equation in slope-intercept form. You also get the equation transformed into standard form without fractions, perfect for academic or real-world use.

Why Use This Calculator?

• Instantly find the line equation from any two coordinate points
• Supports both slope-intercept and standard forms
• Eliminates fractional slopes by transforming into integers
• Mobile-friendly and easy to use for quick math solutions

Applications

This line calculator is ideal for algebra homework, coordinate geometry problems, and real-life applications like graph plotting, trajectory planning, and engineering analysis.