Direct Variation

Front

What is direct variation?

Back

A relationship between two variables where one variable is a constant multiple of the other.

Front

What is the constant of proportionality in direct variation?

Back

The constant value (k) that relates the two variables in a direct variation equation, expressed as y = kx.

Front

How do you identify a direct variation from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, then the relationship is a direct variation.

Front

What is the equation of direct variation?

Back

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

Front

What does the graph of a direct variation look like?

Back

A straight line that passes through the origin (0,0).

Front

Is the relationship y = 3x + 2 a direct variation?

Back

No, because it does not pass through the origin.

Front

What is the y-intercept of the equation y = -x + 5?

Back

(0, 5) is the y-intercept.

Front

What does 'k' represent in the equation y = kx?

Back

'k' represents the constant of proportionality.

Front

If k = 4, what is y when x = 3 in a direct variation?

Back

y = 4 * 3 = 12.

Front

How can you tell if a graph is proportional or non-proportional?

Back

A proportional graph passes through the origin, while a non-proportional graph does not.