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Juliette [100K]
3 years ago
14

What is the slope of a line perpendicular to the line y=2x+5 ?What is the slope of a line perpendicular to the line y=2x+5 ?

Mathematics
1 answer:
enot [183]3 years ago
7 0

Answer:

-\frac{1}{2}

Step-by-step explanation:

Hi there!

In the given equation y=2x+5, the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of \frac{3}{1} (which is the same as 3) is -\frac{1}{3}.

Example 2: The negative reciprocal of -\frac{4}{3} is \frac{3}{4}.

Using this logic, the negative reciprocal of 2, or \frac{2}{1}, is -\frac{1}{2}. Therefore, the slope of a line perpendicular to the line y=2x+5 is -\frac{1}{2}.

I hope this helps!

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