Unit 5 Review

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down. The slope is calculated as the change in y over the change in x, and since the change in x is zero, the slope is undefined.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. This means the line rises from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases. This means the line falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates that the line is horizontal. This means there is no change in y as x changes.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line. It can include curves, parabolas, and other shapes.

Front

What does it mean if a system of equations has no solution?

Back

If a system of equations has no solution, it means that the lines represented by the equations are parallel and will never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

If a system of equations has infinite solutions, it means that the equations represent the same line, and every point on that line is a solution.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you determine if a function is linear or non-linear from a table of values?

Back

To determine if a function is linear from a table of values, check if the differences between consecutive y-values are constant when the x-values increase by the same amount.