Graphing Proportion on Graph

When graphing a relationship, if the ordered pairs make a straight line, and starts at the origin, the relationship is proportional.

• True

• False

Proportional or Nonproportional

• Proportional

• Nonproportional

Proportional or NonProportional

• Proportional (straight line through the origin)

• NonProportional

How can you identify a proportional situation in a graph?

• The graph will show a straight line passing through the origin.

• The graph will show a curved line passing through the origin.

Answer explanation

In a proportional situation, the graph will always show a straight line passing through the origin. This is because the ratio between the two variables remains constant throughout, which is represented by a straight line. The other option of a curved line is incorrect as it represents a non-proportional relationship.

Explain how to graph a proportional situation on a varied scale.

• Use a fixed scale for both axes.

• Adjust the scale of the axes to accurately represent the relationship between the variables.

Answer explanation

To graph a proportional situation on a varied scale, it's important to adjust the scale of the axes. This is because the scale adjustment allows for an accurate representation of the relationship between the variables. Using a fixed scale for both axes wouldn't provide the flexibility needed for varied scales.

In a proportional situation, what does the slope of the graph represent?

• Y-intercept

• Rate of change or constant of proportionality

Answer explanation

In a proportional situation, the slope of the graph represents the rate of change or the constant of proportionality. This means that for every unit increase in the x-axis, the y-axis increases by a constant amount. This constant amount is the slope of the graph, which is the rate of change or constant of proportionality in this context.

Which of the given graphs is a direct proportion?

• A

• B

• C

• D

Which graph represents an inverse proportion relationship?

• 
• 
• 
• 

Which equation exhibits a direct proportion?

• y = 5x - 2

• y = 3/4 x

• y - x = 4

• x = 6

Is this graph proportional?

• Yes

• No