Answer: D
Step-by-step explanation:
To solve this problem, let's go through each pair to see if they are perpendicular lines.
A. Incorrect
These are parallel lines. We know this because they have the same slope and different y-intercept.
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B. Incorrect
These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
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C. Incorrect
These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
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D. Correct
These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.
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E. Incorrect
These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.
