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
1
Recall the slope formula
Slope = rise/run = (change in y)/(change in x)
m = (y₂ - y₁) / (x₂ - x₁)
2
Label the points
Point 1: (x₁, y₁) = (2, 3). Point 2: (x₂, y₂) = (6, 11)
3
Calculate the rise (change in y)
Rise = y₂ - y₁ = 11 - 3 = 8
Rise = 11 - 3 = 8
4
Calculate the run (change in x)
Run = x₂ - x₁ = 6 - 2 = 4
Run = 6 - 2 = 4
5
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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