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.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept of a line?

Back

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

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

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

If the slope of a line is negative, what does that indicate about the relationship between the variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept of the line is 5.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that the dependent variable does not change as the independent variable changes.

Front

What does it mean for a relationship to be non-linear?

Back

A non-linear relationship means that the relationship between the variables cannot be represented by a straight line.