Proportional Relationships and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How can you identify a proportional relationship from a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the rate of change between the two quantities in a proportional relationship.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.

Front

What does it mean if an equation is proportional?

Back

An equation is proportional if it can be expressed in the form y = kx, where k is a constant.

Front

Identify the slope of the equation y = 4x + 2.

Back

The slope is 4.

Front

Identify the y-intercept of the equation y = -5x + 10.

Back

The y-intercept is 10.

Front

Which of the following equations is proportional: y = 3x, y = 2x + 1, or y = 5?

Back

y = 3x is proportional.

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

The slope is 2.