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Chapter 8: Q31. (page 410)

Write the equation in function form. Then graph the equation.

2x+3y=12

Short Answer

Expert verified

The function form of our given equation would be y=-23x+4.

Step by step solution

01

Step 1. Given Information.

An equation: 2x+3y=12

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:

2x+3y=12Givenequation2x鈭�2x+3y=12鈭�2x鈥勨赌勨赌勨赌勨赌勨赌勨赌�Subtracting2xfrombothsides3y=鈭�2x+123y3=鈭�2x3+123鈥勨赌勨赌勨赌�Dividingbothsidesby3y=鈭�23x+4

Therefore, the function form of our given equation would be y=-23x+4.

We can see that the slope of our given equation is -23 and the y-intercept is (0,4).

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

03

Step 3. Conclusion.

The function form of our given equation would be y=-23x+4.

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Most popular questions from this chapter

Graph the equation.

x=-1.

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

0,4,2,0,6,-4,-4,2,8,0

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

y=2x-3

Suppose a relation is represented as a set of ordered pairs and as a mapping diagram. Which representation more clearly shows whether or not the relation is a function? Explain.

Tell whether the relation represented by the graph is a function.
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