What if x1 equals x2?

That describes a vertical line, which has an undefined slope and cannot be expressed in y = mx + b form — enter two points with different x values.

What does 'b' represent?

b is the y-intercept — the y value where the line crosses the y-axis (i.e., where x = 0).

Slope-Intercept Form Calculator

Given two points on a line, calculate the slope (m) and y-intercept (b) to express the line in slope-intercept form, y = mx + b. Useful for algebra homework and linear modeling.

Inputs

Results

Slope (m): 2
Y-Intercept (b): 2

Try an example

Formula

m = (y2 − y1) / (x2 − x1), b = y1 − m·x1

Learn How This Works

Vector and Linear Algebra Basics: Magnitude, Dot Product, and Lines

Vector magnitude, dot product, and slope-intercept form — three foundational calculations from linear algebra and coordinate geometry.

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