Slope and Equations: Real-Life Applications for 8th Graders

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

• 5/3

• 2

• 8/3

2. If the slope of a line is 4 and it passes through the point (1, 2), write the slope-intercept equation of the line.

• y = 4x - 2

• y = 4x + 1

• y = 2x + 4

• y = 4x + 2

3. A bike path runs from point C (0, 0) to point D (3, 6). Calculate the slope of the bike path and explain what it represents in this context.

• The slope of the bike path is 1.

• The slope of the bike path is 2.

• The slope of the bike path is 3.

• The slope of the bike path is 0.5.

4. A store's revenue increases from $2000 at month 1 to $5000 at month 4. What is the slope of the revenue line, and what does it indicate about the store's growth?

• The slope of the revenue line is 2000, indicating the store's revenue grows by $2000 each month.

• The slope of the revenue line is 1000, indicating the store's revenue grows by $1000 each month.

• The slope of the revenue line is 1500, indicating the store's revenue grows by $1500 each month.

• The slope of the revenue line is 500, indicating the store's revenue grows by $500 each month.

5. Write the slope-intercept equation for a line with a slope of -2 that passes through the point (3, 5).

• y = -2x - 3

• y = -2x + 5

• y = 2x + 1

• y = -2x + 11

6. A gardener plants flowers in a straight line from point E (1, 1) to point F (4, 7). Calculate the slope and describe what this means for the garden's layout.

• The slope of the line is 1.

• The slope of the line is 2.

• The slope of the line is 0.5.

• The slope of the line is 3.

7. The temperature in a city rises from 30°F at 8 AM to 50°F at 12 PM. What is the slope of the temperature change, and how can it be represented as an equation?

• 10°F/hour

• 5°F/hour

• 15°F/hour

• 2°F/hour

8. A train travels from station G (2, 10) to station H (6, 22). Determine the slope and write the equation of the line that represents the train's journey.

• y = 4x - 2

• y = 3x + 4

• y = x + 10

• y = 2x + 5

9. If a line has a slope of 3 and passes through the point (4, -1), what is the slope-intercept form of the equation?

• y = 3x + 1

• y = -3x - 1

• y = 3x - 13

• y = 3x + 5

10. A student scores 60 points on their first test and 90 points on their second test, which occurred 3 weeks later. Calculate the slope of the student's score increase and write the corresponding equation.

• y = 30x + 90

• y = 15x + 60

• y = 10x + 60

• y = 5x + 60