Calculating and Interpreting Slope from Points

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?

• 3/8

• 8/3

• 2

• 5/3

2. If the slope of a line is 4 and it passes through the points (1, 2) and (x, 10), what is the value of x?

• 3

• 5

• 8

• 2

3. A bike path runs from point C (3, 5) to point D (7, 9). Calculate the slope of the bike path. What does this slope represent in terms of the bike path's steepness?

• 1

• 0.5

• 2

• -1

4. A student scores 70 points on their first test and 90 points on their second test, which occurred 3 days later. What is the slope of the line representing the student's score over time?

• 10.00

• 5.00

• 6.67

• 8.00

5. A runner's distance from the starting point is represented by the points (0, 0) and (4, 16). Calculate the slope. What does this slope indicate about the runner's speed?

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

• The slope is 0, indicating the runner is stationary.

• The slope is 8, indicating the runner's speed is 8 units of distance per unit of time.

• The slope is 2, indicating the runner's speed is 2 units of distance per unit of time.

6. A store's sales increased from $200 on day 1 to $500 on day 5. What is the slope of the sales line? Interpret what this slope means for the store's sales growth.

• The slope of the sales line is 100.

• The slope of the sales line is 75.

• The slope of the sales line is 25.

• The slope of the sales line is 50.

7. A mountain trail starts at point E (1, 2) and ends at point F (4, 8). What is the slope of the trail? How would you describe the difficulty of the trail based on this slope?

• The slope of the trail is 1, indicating an easy trail.

• The slope of the trail is 2, indicating a difficult trail.

• The slope of the trail is 0, indicating a flat trail.

• The slope of the trail is 3, indicating a moderate trail.

8. A plant grows from a height of 10 cm to 30 cm over a period of 5 weeks. Calculate the slope of the growth line. What does this slope tell you about the plant's growth rate?

• 6 cm/week

• 2 cm/week

• 8 cm/week

• 4 cm/week

9. A train travels from station G (0, 0) to station H (6, 12). What is the slope of the train's path? How can this slope be interpreted in terms of the train's journey?

• The slope of the train's path is 1.

• The slope of the train's path is 3.

• The slope of the train's path is 2.

• The slope of the train's path is 0.5.

10. A student reads 20 pages in the first hour and 50 pages in the third hour. If the reading is represented by the points (1, 20) and (3, 50), what is the slope? What does this slope indicate about the student's reading speed?

• 15

• 25

• 10

• 30