Linear Relationships Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction of the relationship.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of the two quantities is constant. It can be represented by a linear equation that passes through the origin (0,0).

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified from a table of values if the ratios of the corresponding values are constant and the table passes through the origin.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional. This means that there is a fixed value (y-intercept) when x is zero.

Front

What is the equation of a line that represents a proportional relationship?

Back

The equation of a line that represents a proportional relationship is of the form y = mx, where m is the constant of proportionality.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships pass through the origin and have a constant ratio, while non-proportional relationships do not pass through the origin and have varying ratios.

Front

How do you determine the unit rate from a proportional relationship?

Back

The unit rate can be determined by dividing the value of the dependent variable (y) by the value of the independent variable (x) for any point on the line.

Front

What is the significance of the equation y = 5x - 7?

Back

The equation y = 5x - 7 represents a non-proportional relationship because it has a y-intercept of -7, meaning it does not pass through the origin.