Grade 8 Math: Slope - Rise Over Run
This worksheet focuses on understanding and calculating slope (rise over run) from graphs and coordinate points for 8th-grade math students.
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Grade 8 Math: Slope - Rise Over Run
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Read each question carefully and provide your answer. Show all your work for full credit.
Slope is a measure of the steepness of a line. It is calculated as the 'rise' (vertical change) divided by the 'run' (horizontal change) between any two points on the line. The formula for slope (m) is:
m = (y₂ - y₁) / (x₂ - x₁)
1. In your own words, explain what 'rise' refers to when calculating slope.
2. In your own words, explain what 'run' refers to when calculating slope.
3. Calculate the slope of the line shown on the graph below. Identify two points on the line, then determine the rise and the run.
Point 1: ( , ) Point 2: ( , ) Rise: Run: Slope (m):
4. Find the slope of the line that passes through the points (2, 5) and (6, 13).
Using the formula m = (y₂ - y₁) / (x₂ - x₁):
m = ( - ) / ( - )
m = /
Slope (m) =
5. Find the slope of the line that passes through the points (-3, 7) and (2, -3).
Slope (m) =
6. Which of the following lines has a zero slope?
A vertical line
A horizontal line
A line sloping upwards to the right
A line sloping downwards to the right
7. What is the slope of a line that passes through the points (1, 1) and (1, 5)?
0
1
Undefined
4
8. A line with a positive slope rises from left to right.
True
False
9. The slope of a horizontal line is undefined.
True
False
10. A ramp rises 2 feet for every 10 feet of horizontal distance. What is the slope of the ramp?