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Slope: Rise Over Run

Understand and calculate the slope of a line using the concepts of rise and run on a coordinate plane.

Grade 6 Math AlgebraSlope: Rise Over Run
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CCSS.MATH.CONTENT.6.RP.A.2CCSS.MATH.CONTENT.6.EE.B.6
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Slope: Rise Over Run

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Read each question carefully and follow the instructions to determine the slope of the lines.

Slope is a measure of the steepness of a line. It tells us how much the line rises or falls for every unit it moves horizontally. We can calculate slope using the formula: Slope = Rise / Run.

1. Slope is a measure of the   of a line.

2. In the formula for slope, 'Rise' refers to the   change, and 'Run' refers to the   change.

3. A horizontal line has a slope of  .

4. A vertical line has an   slope.

For each pair of points, determine the rise and the run.

1. Point A (2, 3) and Point B (5, 9)

Rise:

Run:

2. Point C (1, 7) and Point D (4, 1)

Rise:

Run:

Calculate the slope of the line passing through each pair of points. Show your work.

1. (1, 2) and (4, 8)

2. (3, 7) and (5, 3)

Plot the given points and draw a line through them. Then, find the slope of the line by counting the rise and run on the graph.

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Points: (1, 1) and (4, 7)

Rise:  

Run:  

Slope:  

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Points: (2, 8) and (6, 2)

Rise:  

Run:  

Slope:  

1. Which of the following best describes a positive slope?

a

The line goes downwards from left to right.

b

The line goes upwards from left to right.

c

The line is flat.

d

The line is straight up and down.