Chapter 4 review-Linear Functions (edited)

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 function. It indicates how much the y-value changes for a unit change in the x-value.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

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

Back

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning it goes straight up and down. This occurs when the x-coordinates of two points are the same.

Front

What is the y-intercept of a linear function?

Back

Front

How can you determine if a function is linear?

Back

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the same as the slope. It measures how much the output (y) changes for a given change in the input (x).

Front

Rewrite the equation 3x - 2y = 12 in slope-intercept form.

Back

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions have varying rates of change and graph as curves.