Mastering Slope Calculations and Line Equations for 8th Graders

1. A car travels from point A (2, 3) to point B (6, 7). What is the slope of the line connecting these two points?

• 2

• 0.5

• 1

• 3

2. Write the slope-intercept equation of the line that passes through the points (1, 2) and (4, 5).

• y = x + 1

• y = 3x - 1

• y = -x + 3

• y = 2x + 1

3. A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. Write the slope-intercept equation that represents the total cost (C) in terms of hours (h).

• C = 10 + 2h

• C = 2h - 10

• C = 10h + 2

• C = 2h + 10

4. If a line has a slope of 3 and passes through the point (0, -1), what is the slope-intercept form of the equation of the line?

• y = 3x - 1

• y = 3x + 1

• y = 3x + 3

• y = -3x - 1

5. A student scores 80 points on their first test and 90 points on their second test. If the scores are plotted on a graph, what is the slope of the line connecting these two points?

• 5

• 20

• 10

• 15

6. Write the equation of the line in slope-intercept form that has a slope of -2 and passes through the point (3, 4).

• y = -2x + 10

• y = -2x - 2

• y = 2x + 4

• y = -2x + 8

7. A gardener plants flowers in a straight line. If the first flower is planted at (1, 2) and the second at (5, 6), what is the slope of the line formed by these two points?

• 0.5

• 3

• 1

• 2

8. The temperature in a city increases from 30°F to 50°F over 4 hours. Calculate the slope of the temperature change per hour and write the slope-intercept equation for this scenario.

• y = 10x + 30

• y = 5x + 50

• y = 5x + 30

• y = 2.5x + 30

9. A train travels from station A (0, 0) to station B (10, 20). What is the slope of the line representing the train's journey?

• 2

• 5

• 3

• 1

10. Write the slope-intercept equation for a line that has a slope of 1/2 and passes through the point (2, 3).

• y = (1/2)x - 1

• y = (1/2)x + 3

• y = (1/2)x + 2

• y = 2x + 1