Linear Relationships

The slope is a measure of the __________ of a line.

• length

• width

• height

• steepness

Which is another way to describe the "change in x" ?

• rise

• run

• vertical

• change in y

According to the graph, at what distance is the ant after 3 seconds?

• 3 cm

• 6 cm

• 8 cm

• 9 cm

The slopes of lines A and B are the same, even though line B is longer? Which of the following statements explain why this is true? SELECT ALL THAT APPLY.

• The two triangles drawn by the vertical and horizontal distances between points are similar.

• The lines are parallel.

• The lines are actually the same lengths.

• Both ratios of rise and run simplify to a slope of 2.

• Line A starts on the y-axis at 2.

In the coordinate pair (5, 20), which value shows the height of that point?

• 0

• 5

• 15

• 20

Some students compared the two graphs. Which statement is correct? (click to enlarge the image)

• both lines have the same slope because they are both green

• both lines have the same slope because they both slant the same way

• both lines have the same slope because the lines are the same length

• both lines have different slopes because the graphs are scaled differently (axis labels/intervals are different)

The graph represents how Flag A behaves when raised up a flag pole. Which number below describes the height of the flag at the beginning (0 seconds)?

• 0

• 8

• 16

• 32

At what rate does Flag A get raised up the flag pole? (find the slope)

• 24 feet per second

• 8 feet per second

• 4 feet per second

• 2 feet per second

What is the slope of the graph showing a child's night of trick-or-treating?

• 6/3 or 2

• 30/3 or 10

• 30/6 or 5

• 6/6 or 1

The equation, y = 5x, represents the rate at which this child visits houses while trick-or-treating. Which statement below correctly describes what this means?

• the total house visits equals 5 times the number of hours

• the total house visits equals 5 plus the number of hours

• the total hours equals 5 times the number of houses

• the total hours equals 5 plus the number of houses