Mastering Slope: Graphs and Linear Equations for 7th Grade

A line on a graph passes through the points (2, 3) and (4, 7). What is the slope of the line?

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• 3

• 2

• 4

Tags

CCSS.8.EE.B.5

If a car travels at a constant speed, the distance it covers can be represented by the equation y = 3x + 2, where y is the distance in miles and x is the time in hours. What is the slope of this equation?

• 3

• 4

• 2

• 1

Tags

CCSS.HSF.LE.B.5

A gardener is planting flowers in a straight line. If the first flower is planted at (1, 2) and the second at (3, 6), what is the slope of the line connecting these two flowers?

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• 4

• 1

• 2

Tags

CCSS.8.EE.B.5

A bike rental company charges a flat fee of $5 plus $2 for each hour of rental. Write the slope-intercept form of the equation that represents the total cost (y) in terms of hours rented (x). What is the slope?

• y = 3x + 5; slope = 3

• y = 5x + 2; slope = 5

• y = 2x + 10; slope = 10

• y = 2x + 5; slope = 2

A student graphed the equation y = -2x + 5. What does the slope tell you about the relationship between x and y?

• The slope of -2 indicates that y decreases as x increases.

• The slope of -2 shows that y remains constant regardless of x.

• The slope of -2 means there is no relationship between x and y.

• The slope of -2 indicates that y increases as x increases.

Tags

CCSS.HSF.LE.B.5

A train travels from station A to station B, and the graph of its journey is a straight line. If the train starts at (0, 0) and reaches (5, 10), what is the slope of the train's journey?

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• 3

• 5

• 2

Tags

CCSS.8.EE.B.5

A store sells notebooks for $3 each. If the total cost is represented by the equation y = 3x, where x is the number of notebooks, what is the slope of this equation?

• 1

• 5

• 10

• 3

Tags

CCSS.8.EE.B.5

A line on a graph has a slope of -1/2 and passes through the point (4, 6). Write the equation of the line in slope-intercept form.

• y = -1/2x + 4

• y = -1/2x + 8

• y = 2x + 2

• y = 1/2x + 6

A runner's distance over time can be represented by the equation y = 4x + 1. What does the slope represent in this context?

• The slope represents the runner's speed, which is 4 units of distance per unit of time.

• The slope shows the time taken to complete a lap.

• The slope represents the total distance covered by the runner.

• The slope indicates the runner's starting position.

Tags

CCSS.HSF.LE.B.5