Calculating Slope: Real-Life Scenarios for 7th Graders

A car travels from point A to point B on a straight road. If point A is at (2, 3) and point B is at (6, 7), what is the slope of the road between these two points?

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• 0.5

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A mountain trail rises from a base camp at (1, 2) to a lookout point at (4, 8). What is the slope of the trail?

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A bike path is represented on a graph where the starting point is (0, 0) and the ending point is (5, 10). What is the slope of the bike path?

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A farmer's field is shaped like a triangle. One vertex is at (1, 1) and another at (4, 4). What is the slope of the line connecting these two vertices?

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• -1

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A skateboard ramp starts at the ground level (0, 0) and reaches a height of 5 feet at (3, 5). What is the slope of the ramp?

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A straight road has a graph that shows a rise of 6 units for every 4 units run. What is the slope of this road?

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• 4/3

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A student plots points on a graph to show the height of a plant over time. If the plant's height is at (2, 4) and (5, 10), what is the slope of the height over that time period?

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A roller coaster rises from (0, 0) to (8, 16). What is the slope of the roller coaster's ascent?

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A straight line on a graph passes through the points (3, 5) and (7, 9). What is the slope of this line?

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• 0.5

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• -1

A road trip from city X to city Y shows a graph where the coordinates of city X are (1, 2) and city Y are (5, 10). What is the slope of the road between these two cities?

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