Comparing Linear Functions

Front

What is a linear function?

Back

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

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

How do you determine the steepness of a slope?

Back

The steepness of a slope is determined by the absolute value of the slope (m) in the equation y = mx + b. A larger absolute value indicates a steeper slope.

Front

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

Back

The slope of the equation y = -2x + 3 is -2.

Front

What is the slope of the equation y = 2x?

Back

The slope of the equation y = 2x is 2.

Front

If two linear functions have the same slope, what can be said about their steepness?

Back

If two linear functions have the same slope, they have the same steepness, regardless of their y-intercepts.

Front

What is the y-intercept in the equation y = 3x - 1?

Back

The y-intercept in the equation y = 3x - 1 is -1.

Front

What is the slope of the equation y = 3x - 1?

Back

The slope of the equation y = 3x - 1 is 3.

Front

What is the slope of the equation y = 1/2x + 1?

Back

The slope of the equation y = 1/2x + 1 is 1/2.

Front

Which has a steeper slope: y = 3x - 1 or y = 1/2x + 1?

Back

y = 3x - 1 has a steeper slope.