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Chapter 4: Q. 333 (page 521)

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

2x-5y=-10

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 2x-5y=-10.

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.

2x-5(0)=-102x=-10x=-5

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

2(0)-5y=-10-5y=-10y=2

Substitute 1for xin the given equation.

2(1)-5y=-10-5y=-10-2y=125y=2.4

03

Graph the equation.

The graph of the given equation is shown below:

04

Write the conclusion

The graph is shown below along with intercept and one more point.

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