Slope Rise Run Solutions
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Slope Rise Run Solutions
📊 Part 1: Finding Rise and Run Between Points
Solution:
Rise = y₂ - y₁ = 7 - 3 = 4
Run = x₂ - x₁ = 6 - 2 = 4
Answer: Rise = 4, Run = 4
Solution:
Rise = y₂ - y₁ = -2 - 5 = -7
Run = x₂ - x₁ = 3 - (-1) = 4
Answer: Rise = -7, Run = 4
Solution for #1:
Slope = rise/run = 4/4 = 1
Solution for #2:
Slope = rise/run = -7/4 = -1.75
Answer: A positive slope means the line is increasing/rising as you move from left to right. The line goes upward.
📈 Part 2: Graph Interpretation and Slope Analysis
Solution:
m = (y₂ - y₁)/(x₂ - x₁) = (10 - 2)/(4 - 0) = 8/4 = 2
Answer: Slope = 2
Solution:
Slope = rise/run = -3/2
If run = 4, then: -3/2 = rise/4
rise = -3/2 × 4 = -6
Answer: The y-value decreases by 6 units.
Solution:
Compare absolute values: |2/3| = 0.67 and |-4/5| = 0.8
Since 0.8 > 0.67, Line B is steeper.
Answer: Line B with slope -4/5 is steeper.
🎯 Part 3: Exit Ticket Solutions
Answer: True. A horizontal line has no rise (rise = 0), so slope = 0/run = 0.
Answer: Undefined. A vertical line has no run (run = 0), and division by zero is undefined.
Solution:
Slope = rise/run = 3 feet/12 feet = 1/4 = 0.25
Answer: The slope is 1/4 or 0.25.
Answer: Slope shows how much the y-value changes for each unit change in x. It represents the rate at which one quantity changes with respect to another, making it a rate of change.
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