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Slope Rise Run Solutions
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Slope Rise Run Solutions
Use slope = rise ÷ run. For points, subtract the y-coordinates to find the rise and subtract the x-coordinates to find the run, using the same order for both.
Rise, Run, and Slope
1.For the points P(1, 2) and Q(5, 8), find the rise and run from P to Q.
2.From R(−3, 4) to S(2, −6), calculate the rise and the run.
3.What is the slope of the line through (−2, 1) and (4, 10)? Show the rise-over-run calculation.
4.A line has a rise of −8 and a run of 4. What is its slope?
- −2
- 2
- −1/2
- 12
5.A line has a positive slope. Describe what happens to its y-values as you move from left to right.
Interpreting Slope
6.A line goes through (0, −3) and (6, 9). Find its slope.
7.A line has slope −5/3. If x increases by 6, how much does y change, and in which direction?
8.Which line is steeper: Line A with slope 3/4 or Line B with slope −7/6?
- Line A, because 3/4 is greater than −7/6
- Line B, because its slope has the greater absolute value
- They are equally steep
- It cannot be determined from the slopes
9.Match each slope to the correct description.
- Slope 0
- Undefined slope
- Positive slope
- Negative slope
- Vertical line
- Horizontal line
- Rises from left to right
- Falls from left to right
Check Your Understanding
10.True or false: A horizontal line has slope 0.
TrueFalse
11.What is the slope of a vertical line? Explain briefly using rise and run.
12.A wheelchair ramp rises 2.5 feet over a horizontal distance of 15 feet. Write its slope in simplest fractional form.
13.Explain why slope describes a rate of change.
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