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Chapter 4: Q. 332 (page 521)

In the following exercises, determine the most convenient method to graph each line.

3x-2y=-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

01

Given information

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

02

Determine the intercept

This equation is of the form Ax+By=C. The easiest way to graph it will be to find the intercepts and one more point.

For x-intercept, substitute 0for yand then solve for x.

3x-2(0)=-123x=-12x=-4

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

3(0)-2y=-12-2y=-12y=6

Substitute 1for xin the given equation,

3(1)-2y=-12-2y=-15y=7.5

03

Graph the equation

The graph is shown below:

04

Write the conclusion

The graph of the given equation is shown below:

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