📐

Slope

★★☆☆☆Middle School

📖Definition

A measure of how steep a line is, calculated as the ratio of vertical change to horizontal change.

📐Formulas

m = (y₂ - y₁)/(x₂ - x₁) = (Δ y)/(Δ x)

Slope of a line through two points

y = mx + b

Slope-intercept form of a line

m₁ · m₂ = -1

Condition for perpendicular lines

✏️Examples

예제 1☆☆☆☆

Find the slope of the line through (1, 2) and (4, 8).

예제 2★★☆☆☆

What slope is perpendicular to a line with slope 3?

Applications

Physics

Velocity, acceleration graphs

Economics

Marginal cost, marginal revenue

🔗Related Documents

Prerequisites

Related

#geometry#coordinate#slope#analytic