Medium📚 Slope of a Line

Slope Example: Finding Slope Between Two Points

Grade 8Key Stage 3-4Årskurs 8-9

Problem

Find the slope of the line passing through points (2, 3) and (6, 11).

📝Step-by-Step Solution

Recall the slope formula

Slope = rise/run = (change in y)/(change in x)

m = (y₂ - y₁) / (x₂ - x₁)

Label the points

Point 1: (x₁, y₁) = (2, 3). Point 2: (x₂, y₂) = (6, 11)

Calculate the rise (change in y)

Rise = y₂ - y₁ = 11 - 3 = 8

Rise = 11 - 3 = 8

Calculate the run (change in x)

Run = x₂ - x₁ = 6 - 2 = 4

Run = 6 - 2 = 4

Calculate the slope

Slope = rise/run = 8/4 = 2

m = 8/4 = 2

✅Final Answer

Slope = 2

A slope of 2 means the line goes up 2 units for every 1 unit it moves right. Positive slope = line goes up (left to right). Negative slope = line goes down. Slope of 0 = horizontal line. Undefined slope = vertical line.

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