8th Grade Slope & Y-Intercept Challenges

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

Tags

CCSS.8.EE.B.5

2. Using the points from question 1, calculate the y-intercept of the line. What is the equation in slope-intercept form?

• y = bx + m, where m is the slope.

• y = mx - b, where b is the slope.

• y = mx + c, where c is the constant term.

• y = mx + b, where b is the calculated y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

3. A bike rental shop has two locations. The first location is at (1, 5) and the second at (4, 11). What is the slope of the line that connects these two locations?

• 1.5

• 2

• 3

• 4

Tags

CCSS.8.EE.B.5

4. From the points in question 3, determine the y-intercept. Write the equation of the line in slope-intercept form.

• The y-intercept is always zero in slope-intercept form.

• y = mx + b, where b is the y-intercept found from the points.

• y = b + mx, where m is the slope found from the points.

• The equation of the line is y = b - mx, where b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

5. A student scores 80 on their first test (1, 80) and 90 on their second test (3, 90). What is the slope of the line representing their test scores?

• 10

• 15

• 5

• 25

7. A store sells 10 items for $50 (0, 50) and 20 items for $90 (10, 90). What is the slope of the line that represents the relationship between the number of items sold and the total cost?

• 4

• 5

• 6

• 2

Tags

CCSS.8.EE.B.5

8. Using the points from question 7, find the y-intercept. Write the equation in slope-intercept form.

• y = mx + b, where b is the y-intercept found from the points.

• y = b + mx, where m is the slope found from the points.

• y = mx - b, where b is the x-intercept found from the points.

• The y-intercept is always zero in slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

9. A runner completes a 5 km race in 25 minutes (0, 25) and a 10 km race in 50 minutes (5, 50). What is the slope of the line connecting these two points?

• 5

• 15

• 10

• 2.5

Tags

CCSS.8.EE.B.5

10. From the points in question 9, calculate the y-intercept. What is the equation of the line in slope-intercept form?

• y = b + mx, where m is the slope calculated from the given points.

• y = mx + c, where c is the constant term unrelated to the y-intercept.

• y = mx - b, where b is the slope of the line.

• y = mx + b, where b is the y-intercept calculated from the given points.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3