Linear Equations

Explore the three standard forms of a linear equation — adjust m and b to see how slope and intercept shape the line.

Equation forms

Slope-intercept

y = x

y = mx + b

Point-slope

(y − 0) / (x − 0) = 1

(y − y₁) / (x − x₁) = m at point (x₁, y₁)

Standard form

x − y = 0

Ax + By = C (integers, A ≥ 0)

Parameters

m — slope (rise over run) 1

b — y-intercept 0

x₁ — reference point for point-slope 2

Slope (m)

y-intercept

(0, 0)

Direction

increasing

Proportional?

yes — passes through origin

Graph