y=kx (Graphs)

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does the constant of proportionality (k) represent in the equation y = kx?

Back

It represents the rate at which y changes with respect to x.

Tags

CCSS.HSF-LE.A.1B

Front

If k = 6 in the equation y = kx, what is the value of y when x = 2?

Back

y = 6 * 2 = 12.

Tags

CCSS.HSF-LE.A.1B

Front

How do you determine the constant of proportionality from a graph?

Back

Identify the slope of the line, which represents k.

Tags

CCSS.8.EE.B.5

Front

What is the constant of proportionality if the graph passes through the points (1, 3) and (2, 6)?

Back

k = 3, since y = 3x.

Tags

CCSS.8.EE.B.5

Front

If the equation of a line is y = 4x, what is the constant of proportionality?

Back

k = 4.

Tags

CCSS.7.RP.A.2B

Front

What does a steeper line on a graph indicate about the constant of proportionality?

Back

A steeper line indicates a larger value of k.

Tags

CCSS.8.EE.B.5

Front

If k = 0.5, what does this mean in terms of the relationship between x and y?

Back

For every 1 unit increase in x, y increases by 0.5 units.

Tags

CCSS.HSF-LE.A.1B

Front

What is the graphical representation of y = 0?

Back

It is a horizontal line along the x-axis.

Front

If a graph shows that for every 3 boys there is 1 girl, what is the rate of change?

Back

The rate of change is 3 boys for every 1 girl.

Tags

CCSS.HSF-LE.A.1B