Slope Calculations & Linear Equations 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?

• 5/3

• 4/3

• 8/3

• 3/2

2. Using the slope from question 1, write the equation of the line in slope-intercept form.

• y = mx - b

• y = x + m

• y = mx + b

• y = b + mx

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

• C = 10 + 2h; slope = 2

• C = 10 + 3h; slope = 3

• C = 5 + 2h; slope = 2

• C = 10 + 1h; slope = 1

4. If a line passes through the points (1, 2) and (4, 8), calculate the slope. Then, write the equation of the line in slope-intercept form.

• y = 3x

• y = x + 1

• y = 2x

• y = 4x - 2

5. A gardener is planting flowers in a straight line. If the first flower is planted at (0, 1) and the second at (3, 7), what is the slope of the line formed by these two points?

• 2

• 1

• 3

• 4

6. Write the equation of the line that represents the gardener's flowers in slope-intercept form using the slope from question 5.

• y = b + mx

• y = x + m

• y = mx - b

• y = mx + b

7. A student scores 70 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?

• 50

• 10

• 20

• 30

8. Using the slope from question 7, write the equation of the line in slope-intercept form that represents the student's test scores over time.

• y = mx + b

• y = mx^2 + b

• y = b + mx

• y = x + m

9. A train travels from station X at (0, 0) to station Y at (6, 12). Calculate the slope of the line representing the train's journey. What does this slope represent in real-world terms?

• 4

• 1

• 3

• 2

10. Write the equation of the line representing the train's journey in slope-intercept form using the slope calculated in question 9.

• y = mx + b

• y = b + mx

• y = mx - b

• y = x + m