Chapter 8: Q29. (page 410)

Write the equation in function form. Then graph the equation.
$3 x + 4 y = 0$

Short Answer

Expert verified

The function form of the equation is $y = - \frac{3}{4} x$ .

Step by step solution

Step 1. Given information.

The given equation is $3 x + 4 y = 0$ .

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} 3 x + 4 y = 0 (Givenequation) \\ 3 x - 3 x + 4 y = 0 - 3 x (Subtracting3 x frombothsides) \\ 4 y = - 3 x \\ \frac{4 y}{4} = - \frac{3 x}{4} (Dividingbothsidesby 4) \\ y = - \frac{3}{4} x \end{matrix}

Therefore, the function form of our given equation would be $3 x + 4 y = 0$ .

We can see that the slope of our given equation is $\frac{- 3}{4}$ and the y-intercept is $(0, 0)$ .

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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Write the equation in function form. Then graph the equation.
$3 x + 4 y = 0$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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Most popular questions from this chapter

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Write the equation in function form. Then graph the equation.3x+4y=0

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

Statistics

Calculus

Decision Maths

Pure Maths

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the equation in function form. Then graph the equation.
$3 x + 4 y = 0$