Slope and Intercept: 8th Grade Challenges in Math

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

Using the points (1, 2) and (4, 5), find the y-intercept of the line that passes through these points.

• 2

• 1

• 3

• 0

A store sells 10 apples for $5 and 20 apples for $10. What is the slope of the line representing the cost of apples as a function of quantity?

• 0.25

• 0.5

• 2.0

• 1.0

Tags

CCSS.8.EE.B.5

If the slope of a line is 3 and it passes through the point (2, 4), what is the equation of the line in slope-intercept form?

• y = 4x - 4

• y = 3x - 2

• y = 3x + 1

• y = 3x + 2

A bike rental shop charges a flat fee of $10 plus $2 per hour. If you rent for 3 hours, what are the coordinates of the point representing your total cost?

• (3, 12)

• (3, 16)

• (2, 14)

• (4, 18)

Tags

CCSS.8.EE.B.5

Given the points (0, 0) and (5, 10), determine the equation of the line in slope-intercept form. What does the y-intercept represent in this context?

• y = 3x - 5

• y = 2x

• y = x + 10

• y = 0.5x + 1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A school has a budget of $500 for sports equipment. If they spend $50 per item, how many items can they buy? Represent this situation with a linear equation and find the x-intercept.

• 5

• 20

• 10

• 15

Tags

CCSS.6.EE.B.7

If a line passes through the points (3, 7) and (5, 11), what are the missing coordinates of the point where the line intersects the y-axis?

• (0, 7)

• (0, 3)

• (0, 5)

• (0, 1)

A gardener plants flowers in a straight line. If the first flower is planted at (1, 2) and the second at (4, 8), what is the equation of the line representing the flower bed?

• y = x + 1

• y = 2x

• y = 4x

• y = 3x - 1

A delivery service charges a base fee of $15 plus $1.50 per mile. If a delivery costs $30, how many miles was the delivery? Use the equation from two points to find the missing coordinate.

• 10 miles

• 20 miles

• 15 miles

• 5 miles

Tags

CCSS.7.EE.B.4A