Proportional Relationships

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

What characterizes a proportional relationship in a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not pass through the origin and can be represented by a line that has a y-intercept.

Front

Which of the following equations represents a proportional relationship: y = 3x or y = 5x - 2?

Back

y = 3x represents a proportional relationship; y = 5x - 2 does not.

Front

What is the slope in a proportional relationship?

Back

The slope is a constant ratio of change in y to change in x.

Front

Identify the equation that does NOT represent a proportional relationship: y = 2x, y = x + 4.

Back

y = x + 4 does not represent a proportional relationship.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change, which can indicate a proportional relationship.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratio of y to x is constant for all pairs of values, it represents a proportional relationship.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

What is the difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where the constant of variation is positive.