Calculating and Understanding Slope in Real Life

A line on a graph rises 3 units for every 2 units it runs to the right. What is the slope of this line?

• 1/2

• 2/3

• 4/3

• 3/2

If a graph shows a line that goes down 4 units for every 5 units it runs to the right, what is the slope?

• 0

• -4/5

• -5/4

• 4/5

A car travels on a straight road and the graph of its distance over time shows a line with a slope of 2. What does this slope represent in real-world terms?

• The slope of 2 represents a speed of 2 units of distance per unit of time.

• The slope of 2 means the car is moving at a constant speed of 2 units per hour.

• The slope of 2 shows the car is traveling 2 units of distance in 2 seconds.

• The slope of 2 indicates the car is accelerating at 2 units per second.

From the points (1, 2) and (4, 8) on a graph, calculate the slope of the line connecting these points.

• 1

• 2

• 3

• 5

A bike path is represented by the points (0, 0) and (6, 12). What is the slope of the bike path?

• 2

• 4

• 3

• 1

If a graph shows a line with a slope of -1, what does this indicate about the relationship between the two variables?

• The two variables have a negative linear relationship.

• The two variables have a quadratic relationship.

• The two variables are independent of each other.

• The two variables have a positive linear relationship.

A student plots the points (2, 3) and (5, 7) on a graph. What is the slope of the line that connects these points?

• 1

• 2

• 3/2

• 4/3

A line on a graph has a slope of 0. What does this tell you about the line's direction?

• The line is horizontal.

• The line is vertical.

• The line has a negative slope.

• The line has a positive slope.

If a line on a graph passes through the points (3, 5) and (7, 9), what is the slope of this line?

• 2

• 0.5

• 1

• -1

A construction project is represented by a graph where the slope is 1.5. What does this slope indicate about the rate of progress?

• The slope of 1.5 indicates a rapid rate of progress.

• The slope of 1.5 suggests a negative rate of progress.

• The slope of 1.5 means there is no progress at all.

• The slope of 1.5 indicates a slow rate of progress.