Algebra & Geometry

Slope Intercept Calculator

Calculate the exact linear equation defining any two points. Input your coordinates to instantly generate the precise y = mx + b structure, including properly isolated slopes and Y-intercepts.

Last updated: February 24, 2026

Determines algebraic equations mathematically without relying on graph plotting
Simplifies messy repeating decimals into precise mathematical fractions
Catches horizontal geometry and undefined vertical lines automatically

Are your variables currently bound by greater-than/less-than operators? Try the Inequality Calculator

Slope Intercept Calculator
Line Solved
Enter two distinct coordinates to find the exact algebraic equation of the passing line.

Defining Coordinates

Point 1
Point 2

Results

Slope Intercept Form
y = 2x
Slope (m)2
Y-Intercept (b)0

Breaking Down y = mx + b

The Slope (m)

The 'm' variable dictates extreme steepness and direction. It serves as the multiplier for every 'x' unit.

  • Positive Slope: Line rises (e.g., y = 2x)
  • Negative Slope: Line falls (e.g., y = -2x)
  • Zero Slope: Horizontal plane (e.g., y = 4)
  • Undefined: Vertical wall (e.g., x = 4)
The Y-Intercept (b)

The 'b' variable dictates the line's fixed position on a graph. It tells you exactly where the line cuts completely across the vertical Y-axis string.

Mathematically, the Y-intercept is precisely what the equation equals when the chosen x horizontal position is absolutely zero. It serves as the static 'baseline' for your equation's growth.

Frequently Asked Questions

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Slope Intercept Form Calculator - Find y = mx + b Instantly