Slope-Intercept Form Calculator

Slope-Intercept Form Formula

Worked Example

The line through (1, 2) and (4, 8):

1. m = 2
2. b = y₁ − m·x₁ = 2 − (2)(1) = 0
3. y = 2x

y-intercept b: 0 · y-intercept point: (0, 0) · x-intercept point: (0, 0) · Standard form: 2x − y = 0

Test-day tip

Linear equations are a big share of SAT Algebra questions. If a question gives a table of values, the slope is the change in y per one-unit change in x, and b is the y-value when x = 0.

More Algebra Calculators

• Slope Calculator

  m = (y₂ − y₁) ÷ (x₂ − x₁)

  rise over run between points (x₁, y₁) and (x₂, y₂)

  Example: The line through (1, 2) and (4, 8): Slope m = 2.

  Open the slope calculator →

• Point-Slope Form Calculator

  y − y₁ = m(x − x₁)

  point (x₁, y₁), slope m

  Example: The line through (1, 2) with slope 3: Point-slope form: y − 2 = 3(x − 1).

  Open the point-slope form calculator →

• Systems of Equations Calculator

  a₁x + b₁y = c₁, a₂x + b₂y = c₂

  solved by elimination / Cramer’s rule; determinant 0 means no unique solution

  Example: The system 2x + 3y = 12 and x − y = 1: Solution: x = 3, y = 2.

  Open the systems of equations calculator →

• Linear Inequality Calculator

  ax + b < c → x < (c − b)/a

  the inequality sign reverses when dividing by a negative a

  Example: The inequality −3x + 4 < 10: Solution = x > -2.

  Open the linear inequality calculator →

Frequently asked questions

Sources

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.