Graphing Linear Functions

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope from the equation y = 4x + 3?

Back

The slope (m) is 4.

Front

What does the y-intercept represent in 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 slope-intercept form.

Front

How can you find the y-intercept from the equation 3x + 5y = 10?

Back

To find the y-intercept, set x = 0 and solve for y. In this case, y = 2.

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.

Front

How do you find the x-intercept from the equation 3x + 2y = 4?

Back

Set y = 0 and solve for x. The x-intercept is 4/3.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of y with respect to x; it shows how steep the line is.

Front

How do you graph a linear equation using the slope and y-intercept?

Back

Start at the y-intercept on the y-axis, then use the slope to determine the rise over run to plot additional points.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.