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Chapter 8: Q28. (page 410)

Graph the equation. Tell whether the equation is a function.

x-3y=-9

Short Answer

Expert verified

The function form of the equation is y=13x+3.

Step by step solution

01

Step 1. Given information.

The given equation is x-3y=-9.

02

Step 2. Calculation.

To write the given equation in function form, we need to convert our equation in slope-intercept form y=mx+bas:

x鈭�3y=鈭�9Givenequationx鈭�x鈭�3y=鈭�9鈭�xSubtractingxfrombothsides鈭�3y=鈭�x鈭�9鈭�3y鈭�3=鈭�x鈭�3鈭�9鈭�3Dividingbothsidesby鈭�3y=13x+3

Therefore, the function form of our given equation would be x-3y=-9.

We can see that the slope of our given equation is 13 and the y-intercept is 0,3.

Upon graphing our given equation, we will get our required graph as shown below:

03

Step 3. Conclusion.

The above graph is the required graph.

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