Write Proportional Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where y is directly proportional to x, and k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

How do you identify the constant of proportionality in an equation?

Back

The constant of proportionality (k) can be found by dividing y by x for any point (x, y) on the line.

Tags

CCSS.7.RP.A.2B

Front

What does the point (6, 4) mean on a graph of a proportional relationship?

Back

It means that for every 6 units of x, there are 4 units of y, indicating a specific ratio.

Tags

CCSS.7.RP.A.2D

Front

If y = 1/4x, what is the value of y when x = 8?

Back

y = 1/4 * 8 = 2.

Tags

CCSS.6.EE.C.9

Front

What is the slope of the line represented by the equation y = 45x?

Back

The slope is 45, indicating that for every 1 unit increase in x, y increases by 45 units.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a set of points forms a proportional relationship?

Back

If the ratio of y to x is constant for all points, then the points form a proportional relationship.

Tags

CCSS.7.RP.A.2A

Front

What does the equation d = 0.45p represent in a proportional relationship?

Back

It indicates that distance (d) is directly proportional to price (p) with a constant of proportionality of 0.45.

Tags

CCSS.7.RP.A.2C

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0, meaning the line passes through the origin.

Tags

CCSS.8.EE.B.5

Front

How do you write an equation for a proportional relationship given a graph?

Back

Identify two points on the line, calculate the slope (k), and use the form y = kx.

Tags

CCSS.7.RP.A.2C