Slope and Equation Writing: Grade 8 Math Challenge

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?

• 5

• 3/8

• 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 = 2x + 4

• y = 4x + 1

• y = 4x - 2

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

• C = 2h + 10

• C = 10h + 2

• C = 10 + 2h

• C = 2h - 10

4. A line passes through the points (3, 7) and (6, 13). Calculate the slope and write the equation of the line in slope-intercept form.

• y = 3x + 2

• y = 2x + 1

• y = x + 5

• y = -2x + 9

5. A student scores 80 points on their first test and 92 points on their second test, which was taken 3 weeks later. What is the slope of the line representing their test scores over time?

• 5

• 3

• 4

• 10

6. The temperature in a city increases from 20°C to 35°C over 5 hours. What is the slope of the temperature change per hour?

• 2°C per hour

• 5°C per hour

• 1°C per hour

• 3°C per hour

7. A gardener plants flowers in a straight line, starting at the point (0, 0) and ending at (4, 8). What is the slope of the line representing the growth of the flowers?

• 1

• 2

• 3

• 4

8. A train travels from station A (0, 0) to station B (10, 50). Write the slope-intercept equation for the train's distance from station A over time if it takes 2 hours to reach station B.

• d = 10t + 5

• d = 25t

• d = 2.5t

• d = 5t

9. A store sells notebooks for $3 each. If the total cost (C) is represented as a function of the number of notebooks (n), what is the slope of this function? Write the equation in slope-intercept form.

• 3, C = 3n + 5

• 3, C = 3n + 0

• 4, C = 4n + 0

• 2, C = 2n + 1

10. A runner's distance from the starting point is represented by the points (0, 0) and (5, 25). What is the slope of the runner's path, and what is the equation of the line in slope-intercept form?

• Slope: 5; Equation: y = 5x

• Slope: 4; Equation: y = 4x

• Slope: 6; Equation: y = 6x + 1

• Slope: 5; Equation: y = 5x + 10