Chapter 8: Q28. (page 410)

Graph the equation. Tell whether the equation is a function.
$x - 3 y = - 9$

Short Answer

Expert verified

The function form of the equation is $y = \frac{1}{3} x + 3$ .

Step by step solution

Step 1. Given information.

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

Step 2. Calculation.

To write the given equation in function form, we need to convert our equation in slope-intercept form $(y = m x + b)$ as:

\begin{matrix} x - 3 y = - 9 (Givenequation) \\ x - x - 3 y = - 9 - x (Subtracting x frombothsides) \\ - 3 y = - x - 9 \\ \frac{- 3 y}{- 3} = \frac{- x}{- 3} - \frac{9}{- 3} (Dividingbothsidesby - 3) \\ y = \frac{1}{3} x + 3 \end{matrix}

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

We can see that the slope of our given equation is $\frac{1}{3}$ and the y-intercept is $(0, 3)$ .

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

Step 3. Conclusion.

The above graph is the required graph.

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Graph the equation. Tell whether the equation is a function.
$x - 3 y = - 9$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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Graph the equation. Tell whether the equation is a function.x-3y=-9

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Applied Mathematics

Calculus

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph the equation. Tell whether the equation is a function.
$x - 3 y = - 9$