y=kx (Graphs)

Front

What is the equation of a proportional relationship?

Back

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

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.

Front

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

Back

y = 6 * 2 = 12.

Front

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

Back

Identify the slope of the line, which represents k.

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.

Front

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

Back

k = 4.

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.

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.

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.