Slope Formula

Find the slope of the line connecting two coordinate points. Enter the coordinates below to see a step-by-step solution.

Formula Reference

\(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

Enter Two Points — P₁ and P₂

P₁: x₁

y₁

→

P₂: x₂

y₂

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Point-Slope Form

Convert a point-slope equation to slope-intercept form. Enter the values below to see a step-by-step solution.

Formula Reference

\(y - y_1 = m(x - x_1) \;\longrightarrow\; y = mx + b\)

Enter Values — P₁ and Slope

SLOPE (m)

P₁: x₁

y₁

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Slope-Intercept Form

Given slope and y-intercept, identify and graph the equation y = mx + b. Enter the values below to see a step-by-step solution.

Formula Reference

\(y = mx + b \quad \text{where } m = \text{slope},\; b = \text{y-intercept}\)

Enter Slope and Y-Intercept

SLOPE (m)

Y-INTERCEPT (b)

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Standard Form

Convert between slope-intercept form and standard form. Enter the values below to see a step-by-step solution.

Formula Reference

\(y = mx + b \;\longleftrightarrow\; Ax + By = C \quad (A \geq 0,\; A{,}B{,}C \in \mathbb{Z})\)

Slope-Intercept → Standard Form

SLOPE (m)

Y-INTERCEPT (b)

💡 Decimal or fractional slopes are scaled to produce integer coefficients.

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Standard Form → Slope-Intercept

A

B

C

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Two-Point Line Equation

Find the complete equation of the line through two given points. Enter the coordinates below to see a step-by-step solution.

Formula Reference

\(m = \dfrac{y_2-y_1}{x_2-x_1}, \quad b = y_1 - mx_1, \quad y = mx+b\)

Enter Two Points — P₁ and P₂

P₁: x₁

y₁

→

P₂: x₂

y₂

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Parallel & Perpendicular Lines

Find the equation of a parallel or perpendicular line through a given point. Enter the values below to see a step-by-step solution.

Formula Reference

\(\text{Parallel: } m_2 = m_1 \qquad \text{Perpendicular: } m_2 = -\dfrac{1}{m_1}\)

Enter the Original Line & a Point

SLOPE m₁

Y-INTERCEPT (b)

·

POINT x₁

POINT y₁

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Midpoint Formula

Find the point exactly halfway between two coordinate points. Enter the coordinates below to see a step-by-step solution.

Formula Reference

\(\displaystyle M = \left(\frac{x_1 + x_2}{2},\; \frac{y_1 + y_2}{2}\right)\)

Enter Two Points — P₁ and P₂

P₁: x₁

y₁

→

P₂: x₂

y₂

▶ Launches step-by-step presentation