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Chapter 1: Problem 65

a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. $$3 y-9=0$$

Short Answer

Expert verified
The slope of the given equation is 0 and the y-intercept is 3. The graph of this function is a horizontal line passing through the point (0, 3).

Step by step solution

01

Rewrite the Equation in Slope-Intercept Form

Start by rearranging the given equation to get it in the form \(y = mx + b\). The given equation is \(3y - 9 = 0\). If we divide everything by 3, we find that \(y - 3 = 0\) or \(y = 3\).
02

Identify the Slope and Y-Intercept

Now that we have the equation in slope-intercept form, we can identify the slope (m) and y-intercept (b). In this equation, it can be noticed that there is no x term, so the slope (m) equals to 0. This means that the line is horizontal. The y-intercept (b) is the constant term, which is 3 in this equation. So, for the given equation, the slope is 0 and the y-intercept is 3.
03

Graph the Linear Function

For graphing the function, draw a horizontal line that passes through the y-axis at the point y = 3. A point on this line can be represented as (x, 3) for any value of x since y is always equal to 3.

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