Slope Quiz

What is the formula to calculate the slope from a graph?

• Slope = (x2 - x1) / (y2 - y1)

• Slope = (y2 - y1) / (x2 - x1)

• Slope = (y2 - y1) * (x2 - x1)

• Slope = (y2 + y1) / (x2 - x1)

If two points on a line are (3, 5) and (7, 9), what is the slope of the line?

• 1

• 4

• 2

• 10

What does a positive slope indicate in a graph?

• There is no relationship between the dependent and independent variables.

• The independent variable decreases as the dependent variable decreases.

• The dependent variable decreases as the independent variable increases.

• The dependent variable increases as the independent variable increases.

What does a negative slope indicate in a graph?

• No change in the value of the dependent variable as the independent variable increases

• Decrease in the value of the dependent variable as the independent variable increases

• Increase in the value of the dependent variable as the independent variable increases

• The graph is not valid

If the slope of one line is 2, what is the slope of a line perpendicular to it?

• 0

• 1

• 2

• -1/2

How can slope be used to determine if two lines are perpendicular?

• The sum of their slopes should be -1.

• The product of their slopes should be -1.

• The difference of their slopes should be -1.

• The product of their slopes should be 1.

In what real-life scenario would you use slope to solve a problem?

• Construction or business sales analysis

• Writing a novel

• Playing a video game

• Baking a cake

If the slope of a road is 0.5, what does it indicate about the steepness of the road?

• Moderately steep

• Completely flat

• Very steep

• Slightly steep

If the slope of a staircase is -1, what does it indicate about the steepness of the staircase?

• Completely flat

• Very steep

• Not steep at all

• Moderately steep

Explain how slope can be used in architecture and construction.

• Slope is used to make buildings more prone to flooding

• Slope is used to increase the risk of structural collapse

• Slope is used to create indoor swimming pools

• Slope is used to ensure proper drainage, create structural stability, and design aesthetically pleasing buildings.