Q10. Graph the equation.3x+2y=-2... [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 410)

Graph the equation.
$3 x + 2 y = - 2$

Short Answer

Expert verified

The graph of our given equation would look like:

Step by step solution

Step 1. Given information.

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

Step 2. Calculation.

We can see that our given equation is in standard form of equation that is $A x + B y = C$ .

Let us convert our given equation in slope-intercept form as:

$\begin{matrix} 3 x + 2 y = 鈭� 2 (Givenequation) \\ 3 x 鈭� 3 x + 2 y = 鈭� 2 鈭� 3 x (Subtracting 3 x frombothsides) \\ 2 y = 鈭� 3 x 鈭� 2 \\ y = 鈭� \frac{3}{2} x 鈭� 1 (Dividingbothsidesby2) \end{matrix}$

We can that slope of our given line is $- \frac{3}{2}$ and the y-intercept is at point $(0, - 1)$ .

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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x	4	2	$- 3$	4	$- 4$
y	0	$- 1$	0	$- 1$	0

91影视

Graph the equation.
$3 x + 2 y = - 2$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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