Graphing Linear Functions

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is and the direction it goes (positive, negative, zero, or undefined).

Front

What is the y-intercept of a linear function?

Back

Front

How do you find the slope from two points?

Back

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

What does a zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning the x-value does not change as the y-value changes.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept (b) and plot it on the y-axis. Then use the slope (m) to find another point by moving up/down and left/right from the y-intercept.

Front

What is the standard form of a linear equation?

Back