Linear Relationships Big One

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 between the two variables. It indicates how much one variable changes for a unit change in another variable.

Front

What is a positive slope?

Back

A positive slope means that as one variable increases, the other variable also increases, resulting in an upward slanting line.

Front

What is a negative slope?

Back

A negative slope means that as one variable increases, the other variable decreases, resulting in a downward slanting line.

Front

What does a zero slope indicate?

Back

A zero slope indicates that there is no change in the y-value as the x-value changes, resulting in a horizontal line.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

How do you calculate the slope of a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the y-value is zero.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the x-value is zero.

Front

What is the constant rate of change (CROC)?

Back

The constant rate of change (CROC) is another term for the slope of a line, indicating how much the dependent variable changes for a unit change in the independent variable.