Graphing Linear Functions

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in 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. In the slope-intercept form of a linear equation (y = mx + b), the y-intercept is represented by 'b'.

Front

How do you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does the equation y = 1/4x + 2 represent?

Back

This equation represents a linear function with a slope of 1/4 and a y-intercept of 2.

Front

How do you graph a line using slope-intercept form?

Back

To graph a line using slope-intercept form, first plot the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run from that point.

Front

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

Back

The slope of the line is -3.

Front

What is the difference between slope and y-intercept?

Back

The slope indicates the steepness and direction of the line, while the y-intercept indicates where the line crosses the y-axis.

Front

How can you find the equation of a line given its slope and y-intercept?

Back

You can use the slope-intercept form of a linear equation, which 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 y = 1/2x - 1?

Back

The slope of the line is 1/2.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that the line descends from left to right.