a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use

step 1 We need to rewrite this in slope intercept form so we can find the slope and the Y intercept and

A. Rewrite the given equation in slope-intercept form. b....

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Key Concepts

Slope-Intercept Form

The slope-intercept form is a way of writing the equation of a line as y = mx + b, where m represents the slope and b represents the y-intercept. This form is particularly useful because it clearly shows the slope and the point where the line crosses the y-axis, making it easy to graph the line and understand its behavior.

Slope

The slope of a line is a measure of its steepness, indicating how much the y-value changes for a given change in the x-value. It is calculated as the ratio of the change in y to the change in x (rise over run) and is represented by the coefficient m in the slope-intercept form y = mx + b.

Y-Intercept

The y-intercept is the point where the line crosses the y-axis. In the slope-intercept form y = mx + b, the y-intercept is represented by b. This point is important because it provides a starting position for graphing the line and serves as a reference point to help determine the entire line.

Graphing Linear Functions

Graphing linear functions involves plotting the y-intercept on the y-axis and using the slope to determine another point on the line. By moving according to the slope (rise over run), you can plot additional points and draw the line. This process visually represents the linear relationship defined by the equation.

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