Graph Linear Functions

Front

What is a linear function?

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, which indicates how steep the line is.

Front

What is the y-intercept?

Back

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

Front

How do you find the slope of a line?

Back

The slope is found by taking the difference in y-values divided by the difference in x-values between two points on the line.

Front

What is the slope of the line represented by the equation y = 2x - 3?

Back

The slope is 2.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Front

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

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical and does not have a defined slope value.