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Darya [45]
4 years ago
8

State whether the lines are parallel, perpendicular, or neither. Show your work.

English
1 answer:
egoroff_w [7]4 years ago
6 0

Answer:

Neither

Explanation:

we know that

If two lines are parallel, then their slopes are the same and their y-intercept are different

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

we have

x-5y=103 ----> equation A

-2x=-206-10y ----> equation B

step 1

Find the slope of line A

Isolate the variable y

5y=x-103

y=\frac{1}{5}x-\frac{103}{5}

the slope is equal to

m_A=\frac{1}{5}

step 2

Find the slope of line B

Isolate the variable y

10y=2x-206

y=\frac{2}{10}x-\frac{206}{10}

Simplify

y=\frac{1}{5}x-\frac{103}{5}

Compare

Line A and Line B are the same line

therefore

Neither

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