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Chapter 4: Q. 4.103 (page 514)

Use slopes and y-intercepts to determine if the lines y=8 andy=鈭�6 are parallel.

Short Answer

Expert verified

The lines have the same slope and different y-intercepts and so they are parallel.

Step by step solution

01

Step 1. Given information.

The given equations are:

y=8y=-6

02

Step 2. Determine the slopes and y-intercepts.

The given equations can be written as:

y=0x+8y=0x-6

Compare these equations with y=mx+b.

For the first equation, the slope is m=0and b=8. It means the y-intercept is (0,8).

For the second equation, the slope is m=0and b=-6. It means the y-intercept is (0,-6).

03

Step 3. Conclusion.

The lines have the same slope and different y-intercepts and so they are parallel.

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Most popular questions from this chapter

Find the intercepts for3x+y=9

Find the intercepts for3x+y=6

Find three solutions to the equation4x+2y=8.

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鈸� (鈭�2,1) 鈸� (鈭�3,鈭�1) 鈸� (4,鈭�4) 鈸� (鈭�4,4)鈸� (-4,32)

In the following exercises, find three solutions to each linear equation.

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