Real-World Slope: Interpreting Graphs and Growth

1. A car travels from point A (2, 3) to point B (5, 11). What is the slope of the line connecting these two points, and what does it represent in the context of the car's journey?

• 5/8

• 7/4

• 8/3

• 3/2

2. A hiker climbs from point C (1, 2) to point D (4, 8). Calculate the slope of the line between these two points. How does this slope relate to the steepness of the trail?

• The slope of the line is 2.

• The slope of the line is 1.

• The slope of the line is 0.5.

• The slope of the line is 3.

3. A bike path runs from point E (0, 0) to point F (6, 12). Find the slope of the path. What does this slope indicate about the bike path's incline?

• The slope of the path is 0.5.

• The slope of the path is 3.

• The slope of the path is 1.

• The slope of the path is 2.

4. A student plots points G (3, 4) and H (7, 10) on a graph. Determine the slope of the line connecting these points. How would you describe the relationship between the points in terms of slope?

• The slope of the line is 3, indicating a vertical relationship between the points.

• The slope of the line connecting points G and H is 1.5, indicating a positive relationship between the points.

• The slope of the line is 0.5, indicating no relationship between the points.

• The slope of the line is 2, indicating a negative relationship between the points.

5. A building's height increases from point I (2, 5) to point J (5, 20). What is the slope of the line between these two points, and what does it tell you about the building's height increase?

• The slope is 3, indicating a slight increase in height.

• The slope is 5, indicating a steep increase in height.

• The slope is 10, suggesting a gradual decrease in height.

• The slope is 0, meaning the building's height remains constant.

6. A train travels from station K (1, 1) to station L (4, 10). Calculate the slope of the line connecting these two stations. What does this slope indicate about the train's speed?

• The slope of the line is 2.

• The slope of the line is 5.

• The slope of the line is 1.5.

• The slope of the line is 3.

7. A gardener measures the growth of a plant from point M (0, 1) to point N (5, 6). Find the slope of the line between these points. How does this slope reflect the plant's growth rate?

• 2

• 1

• 0.5

• 3

8. A runner moves from point O (2, 3) to point P (8, 15). What is the slope of the line connecting these two points, and how does it relate to the runner's speed?

• The slope of the line is 3.

• The slope of the line is 0.5.

• The slope of the line is 1.

• The slope of the line is 2.

9. A graph shows the temperature at point Q (1, 30) and point R (4, 60). Calculate the slope of the line between these points. What does this slope indicate about the temperature change?

• The slope is 10, indicating a temperature increase of 10 degrees per unit increase in x.

• The slope is 20, indicating a temperature increase of 20 degrees per unit increase in x.

• The slope is 5, indicating no change in temperature as x increases.

• The slope is 15, indicating a temperature decrease of 15 degrees per unit increase in x.

10. A swimmer's distance from point S (0, 0) to point T (3, 9) is plotted. Determine the slope of the line connecting these points. How does this slope represent the swimmer's pace?

• 4

• 3

• 1

• 2