Mastering Slope and Intercept: 8th Grade Challenges

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?

• 8/3

• 2

• 5/3

• 3/8

Tags

CCSS.8.EE.B.5

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

• y = 4x + 2

• y = 4x - 2

• y = 4x - 4

• y = 2x + 4

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

• C = 2h - 10

• C = 10h + 2

• C = 2h + 10

• C = 10 + 2h^2

4. Calculate the slope of the line that passes through the points (3, 7) and (6, 13). What does this slope represent in a real-world context?

• The slope of the line is 3.

• The slope of the line is 2.

• The slope of the line is 1.

• The slope of the line is 0.5.

Tags

CCSS.8.EE.B.5

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

• 5

• 10

• 20

• 15

Tags

CCSS.8.EE.B.5

6. The equation of a line is given as y = -2x + 5. What is the slope and y-intercept of this line?

• Slope: -2, Y-intercept: 5

• Slope: 2, Y-intercept: 5

• Slope: 0, Y-intercept: 5

• Slope: -5, Y-intercept: 2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

7. A gardener plants flowers in a straight line. If the first flower is planted at (0, 1) and the second at (4, 9), what is the slope of the line representing the growth of flowers?

• 1

• 4

• 3

• 2

Tags

CCSS.8.EE.B.5

8. A delivery service charges a base fee of $15 plus $3 per mile. Write the equation in slope-intercept form that represents the total charge (C) based on the distance (d) in miles.

• C = 3d + 15

• C = 3d - 15

• C = 15 + 3d

• C = 15d + 3

9. If a line has a slope of -1/2 and passes through the point (4, 6), what is the equation of the line in slope-intercept form?

• y = -1/2x + 8

• y = 2x + 2

• y = -1/2x + 4

• y = 1/2x + 6

10. A train travels from station A at (1, 2) to station B at (3, 8). Calculate the slope and explain what this means in terms of the train's speed.

• The slope of the train's path is 2.

• The slope of the train's path is 4.

• The slope of the train's path is 1.5.

• The slope of the train's path is 3.

Tags

CCSS.8.EE.B.5