Representing Proportional Relationships

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 quantity is constant.

Front

How do you calculate the slope of a line?

Back

The slope of a line is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates (rise over run).

Front

What does a slope of 6 indicate in a graph?

Back

A slope of 6 indicates that for every 1 unit increase in the x-direction, the y-value increases by 6 units.

Front

What is the meaning of 'rate of change'?

Back

Rate of change refers to how much one quantity changes in relation to another quantity, often represented as the slope in a graph.

Front

If Johnathan saves $25 per month, how much will he save in 6 months?

Back

Johnathan will save $150 in 6 months (25 x 6 = 150).

Front

What does it mean if a graph is linear?

Back

A linear graph means that the relationship between the variables can be represented by a straight line.

Front

What is the difference between linear and non-linear graphs?

Back

Linear graphs represent a constant rate of change, while non-linear graphs represent a variable rate of change.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and the ratio of y to x is constant.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What is the significance of the y-intercept in a graph?

Back

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