Exploring Distance and Slope in Real-World Scenarios

A park is shaped like a rectangle. The coordinates of two opposite corners are (2, 3) and (8, 7). What is the distance between these two corners?

• 3√10

• 5√2

• 4√5

• 2√13

Tags

CCSS.6.G.A.3

A straight road runs from point A (1, 2) to point B (4, 6). What is the slope of the road?

• 1

• 4/3

• 2

• 3/4

Tags

CCSS.8.EE.B.5

Two friends are standing at points (3, 4) and (7, 1) in a playground. What is the midpoint between their locations?

• (4, 3)

• (5, 2.5)

• (6, 2)

• (8, 0.5)

Tags

CCSS.HSG.GPE.B.6

A delivery truck travels from point (0, 0) to point (6, 8). How far does the truck travel?

• 8

• 15

• 10

• 12

Tags

CCSS.HSG.GPE.B.7

A line passes through the points (2, 5) and (6, 9). Calculate the slope of this line.

• 1

• 2

• 0.5

• 3

Tags

CCSS.8.EE.B.5

A bike path connects points (1, 1) and (5, 5). What is the distance of the bike path?

• 3√2

• 4

• 6

• 4√2

Tags

CCSS.HSG.GPE.B.7

The coordinates of two cities are (10, 12) and (14, 16). What is the distance between the two cities?

• 10

• 5

• 3√2

• 4√2

Tags

CCSS.HSG.GPE.B.7

A line segment connects points (3, 3) and (3, 7). What is the slope of this line segment?

• 0

• undefined

• 1

• -1

Tags

CCSS.8.EE.B.5

A runner starts at point (2, 2) and finishes at point (10, 10). What is the distance the runner covered?

• 10

• 8√2

• 12√2

• 6√2

• 8

Tags

CCSS.HSG.GPE.B.7

The midpoint of a line segment is (4, 4) and one endpoint is (2, 2). What are the coordinates of the other endpoint?

• (4, 2)

• (8, 8)

• (6, 6)

• (2, 6)

Tags

CCSS.HSG.GPE.B.6