Understanding Direct Variation

Front

Definition

Back

Relationship where one variable is a constant multiple of another.

Front

Formula

Back

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

Front

Constant of Variation

Back

The constant k in the equation y = kx.

Front

Graph

Back

Straight line through the origin.

Front

Proportional Relationship

Back

Direct variation implies proportionality.

Front

Example

Back

If y = 3x, then y varies directly with x.

Front

Inverse Variation

Back

Opposite of direct variation.

Front

Real-life Example

Back

Speed and distance with constant time.

Front

Slope

Back

In y = kx, k is the slope of the line.

Front

Zero Intercept

Back

Graph passes through origin, no y-intercept.