Linear Functions

Front

What is the general form of a linear function?

Back

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

Front

How do you identify the slope from the equation of a line?

Back

The slope (m) can be identified from the equation in slope-intercept form (y = mx + b) as the coefficient of x.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

The slope of the line is -2.

Front

What is the y-intercept of the line represented by the equation y = 4x - 5?

Back

The y-intercept of the line is -5.

Front

How do you graph a linear equation using slope-intercept form?

Back

First, plot the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot another point.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit you move to the right, the line rises 3 units, making it steep.