Proportional Equations

Front

What is a proportional equation?

Back

A proportional equation is an equation that shows a constant ratio between two variables, typically in the form y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2C

Front

Does the equation y = 14x show proportionality?

Back

Yes, it shows proportionality because it can be expressed in the form y = kx.

Tags

CCSS.7.RP.A.2C

Front

Write an equation for a proportional relationship where y increases as x increases.

Back

y = 5x is an example of a proportional relationship.

Tags

CCSS.7.RP.A.2C

Front

Which equation shows a NON-proportional relationship?

Back

y = x + 3 is non-proportional because it does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality in the equation y = 2x?

Back

The constant of proportionality is 2.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, showing proportionality.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if an equation is not proportional?

Back

It means that the relationship between the variables does not maintain a constant ratio.

Tags

CCSS.7.RP.A.2D

Front

Write the equation for the relationship where y is three times x.

Back

y = 3x.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the slope of the line represented by the equation y = 1/2x?

Back

The slope is 1/2, indicating the rate of change between x and y.

Tags

CCSS.8.EE.B.5