Q10. Write 2x-3y=3 in function from. ... [FREE SOLUTION]

91影视

Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 8: Q10. (page 409)

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

Short Answer

Expert verified

The function form of our given equation would be $y = \frac{2}{3} x 鈭� 1$ .

Step by step solution

Step 1. Given Information

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

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} 2 x 鈭� 3 y = 3 (Givenequation) \\ 2 x 鈭� 2 x 鈭� 3 y = 3 鈭� 2 x (Subtracting 2 x frombothsides) \\ 鈭� 3 y = 鈭� 2 x + 3 \\ \frac{鈭� 3 y}{鈭� 3} = \frac{鈭� 2 x}{鈭� 3} + \frac{3}{鈭� 3} (Dividingbothsidesby 鈭� 3) \\ y = \frac{2}{3} x 鈭� 1 \end{matrix}

Therefore, the function form of our given equation would be $y = \frac{2}{3} x - 1$ .

We can see that the slope of our given equation is $\frac{2}{3}$ 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 $y = \frac{2}{3} x - 1$ .

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91影视

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation.

Step 3. Graph the obtained equation.

Step 4. Conclusion.

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91影视

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation.

Step 3. Graph the obtained equation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Calculus

Logic and Functions

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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