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Chapter 8: Q30. (page 410)

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

5x-2y=6

Short Answer

Expert verified

The function form of our given equation would be y=52x-3.

Step by step solution

01

Step 1. Given Information.

An equation: 5x-2y=6

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:

5x鈭�2y=6鈥勨赌勨赌�Givenequation5x鈭�5x鈭�2y=6鈭�5xSubtracting5xfrombothsides鈭�2y=鈭�5x+6鈭�2y鈭�2=鈭�5x鈭�2+6鈭�2Dividingbothsidesby鈭�2y=52x鈭�3

Therefore, the function form of our given equation would be y=52x-3.

We can see that the slope of our given equation is 52 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 function form of our given equation would be y=52x-3.

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