Unit 4: Linear Functions Review

Front

What is the slope in the equation y = \frac{3}{2}x + 3?

Back

The slope is \frac{3}{2}.

Front

What is the y-intercept in the equation y = \frac{3}{2}x + 3?

Back

The y-intercept is (0, 3).

Front

What does it mean for an object to be speeding up in a graph?

Back

It means that the object's speed is increasing over that interval.

Front

How can you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 7x + 2y = 20 to slope-intercept form.

Back

The slope-intercept form is y = -\frac{7}{2}x + 10.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight lines, while nonlinear functions create curves.

Front

Identify the slope from the equation y = 2x + 5.

Back

The slope is 2.

Front

Identify the y-intercept from the equation y = -3x + 4.

Back

The y-intercept is (0, 4).

Front

What is the slope of the line represented by the equation y = -\frac{1}{2}x + 6?

Back

The slope is -\frac{1}{2}.