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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 8/
  4. Unit 4/
  5. Slope
Grade 8 · Unit 4Topic 1 of 2~24 min

Slope

Measure steepness as rise over run.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Rise over run

Slope tells how steep a line is. It is the change in y (rise) divided by the change in x (run).

Slope from two points

  1. 1Pick two points (x₁, y₁) and (x₂, y₂).
  2. 2Slope m = (y₂ − y₁) ÷ (x₂ − x₁).
Worked example

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

  1. →Change in y: 8 − 2 = 6.
  2. →Change in x: 4 − 1 = 3.
  3. →Slope = 6 ÷ 3 = 2.

Tip

A line going up left-to-right has positive slope; going down has negative slope. A flat line has slope 0.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Finding the Slope of a Line

Slope as change in y over change in x.

Watch on YouTube
Khan Academy

Slope from Two Points

Compute slope from a pair of ordered pairs.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Slope

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Slope

Question 1 of 2

Medium

Find the slope through (2, 3) and (6, 11).

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toUnit 4 overview→Next up · Topic 2 of 2Slope-Intercept Form