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 the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the rate of change represent in a linear relationship?

Back

The rate of change represents how much the dependent variable (y) changes for a unit change in the independent variable (x). It is the slope of the line.

Front

How do you calculate the rate of change?

Back

To calculate the rate of change, use the formula: (change in y) / (change in x). This gives you the slope of the line.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) in the equation y = kx, which shows the relationship between two proportional quantities.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line indicate?

Back

The slope of a line indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship where the ratio of two variables is constant. It can be represented by a straight line that passes through the origin (0,0).

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship can be identified on a graph by a straight line that passes through the origin (0,0).

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 does it mean if a line has a slope of 0?

Back

If a line has a slope of 0, it means the line is horizontal, indicating that the dependent variable (y) does not change as the independent variable (x) changes.