Slope and Intercept Challenges for 6th Graders

1. A park has two playgrounds located at points A(2, 3) and B(5, 7). What is the slope of the line connecting these two points?

• 3/4

• 4/3

• 1

• 2

Tags

CCSS.8.EE.B.5

2. If a line crosses the y-axis at (0, 4) and has a slope of 2, what is the equation of the line?

• y = 4x + 2

• y = 2x + 2

• y = 2x + 4

• y = 2x - 4

3. A car travels from point C(1, 2) to point D(4, 5). Calculate the slope of the line representing the car's path.

• 3

• 2

• 1

• 0.5

Tags

CCSS.8.EE.B.5

4. A store's sales increase from $100 at month 1 to $300 at month 5. What is the slope of the line representing the sales over these months?

• 75

• 100

• 25

• 50

Tags

CCSS.8.EE.B.5

5. A line passes through the points E(3, 1) and F(7, 5). Determine the x-intercept of the line.

• 4

• 2

• 1

• 3

Tags

CCSS.HSF.IF.A.1

6. A gardener plots two points on a graph: G(0, 6) where they start planting and H(4, 10) where they finish. What is the slope of the line connecting these points?

• 0.5

• 1

• 2

• -1

Tags

CCSS.8.EE.B.5

7. If a line has a slope of -1 and passes through the point (2, 3), what is the y-intercept of the line?

• 4

• 6

• 5

• 2

8. A bike rental shop has a fixed fee of $10 and charges $5 per hour. Write the equation of the line that represents the total cost (y) based on hours rented (x).

• y = 5x + 10

• y = 10x + 5

• y = 5x - 10

• y = 10 + 5x - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

9. A student plots the points I(1, 2) and J(3, 8). What is the slope of the line that connects these points?

• 3

• 5

• 4

• 2

Tags

CCSS.8.EE.B.5

10. A line crosses the x-axis at (6, 0) and has a slope of -2. What is the equation of this line?

• y = -2x + 12

• y = -2x - 12

• y = 2x - 12

• y = -2x + 6