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

How do you determine the slope of a linear function from its equation?

Back

The slope (m) can be determined from the equation in the form y = mx + b. It is the coefficient of x.

Front

What is the y-intercept of a linear function?

Back

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

Front

How do you graph a linear function?

Back

To graph a linear function, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. A positive slope indicates an upward trend, while a negative slope indicates a downward trend.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = -3x + 5?

Back

The y-intercept is 5.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation 3y = 6x - 9?

Back

First, rewrite the equation in slope-intercept form: y = 2x - 3. The slope is 2.