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Found in: Page 409


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Write 2x-3y=3 in function from. Then graph the equation.

The function form of our given equation would be y=23x1.

See the step by step solution

Step by Step Solution

Step 1. Given Information

The given equation is 2x-3y=3.

Step 2. Calculation.

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

2x3y=3Given equation2x2x3y=32xSubtracting 2x from both sides3y=2x+33y3=2x3+33Dividing both sides by 3y=23x1

Therefore, the function form of our given equation would be y=23x-1.

We can see that the slope of our given equation is 23 and the y-intercept is 0,-1.

Step 3. Graph the obtained equation.

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

Step 4. Conclusion.

The above graph is the required graph and the form of the equation in function is y=23x-1.

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