Chapter 4: Q. 332 (page 521)

In the following exercises, determine the most convenient method to graph each line.
$3 x - 2 y = - 12$

Short Answer

Expert verified

The easiest way to graph the given equation by finding the intercepts and one more point.

The graph is shown below:

Step by step solution

Given information

The given equation is $3 x - 2 y = - 12$ .

Determine the intercept

This equation is of the form $A x + B y = C$ . The easiest way to graph it will be to find the intercepts and one more point.

For $x$ -intercept, substitute $0$ for $y$ and then solve for $x$ .

$\begin{array}{rcl} 3 x - 2 (0) & = & - 12 \\ 3 x & = & - 12 \\ x & = & - 4 \end{array}$

For $y$ -intercept, substitute $0$ for $x$ and then solve for $x$ .

$\begin{array}{rcl} 3 (0) - 2 y & = & - 12 \\ - 2 y & = & - 12 \\ y & = & 6 \end{array}$

Substitute $1$ for $x$ in the given equation,

$\begin{array}{rcl} 3 (1) - 2 y & = & - 12 \\ - 2 y & = & - 15 \\ y & = & 7.5 \end{array}$

Graph the equation

The graph is shown below:

Write the conclusion

The graph of the given equation is shown below:

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In the following exercises, determine the most convenient method to graph each line.
$3 x - 2 y = - 12$

Short Answer

Step by step solution

Given information

Determine the intercept

Graph the equation

Write the conclusion

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In the following exercises, determine the most convenient method to graph each line.3x-2y=-12

Short Answer

Step by step solution

Given information

Determine the intercept

Graph the equation

Write the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, determine the most convenient method to graph each line.
$3 x - 2 y = - 12$