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3 years ago

Find the equation of the line that is perpendicular to y = 2x + 8

Mathematics

1 answer:

Natasha2012 [34]3 years ago

6 0

Answer:

$\boxed {\boxed {\sf B. \ y= - \frac{1}{2} x-4}}$

Step-by-step explanation:

We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.

The slope of the line is 2.

We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.

1. Negate

Negate the slope, or switch the sign
(+) 2 --> -2

2. Reciprocal

Flip the numerator and denominator of the slope.

-2/1 --> -1/2

The perpendicular slope is -1/2, so the correct equation must be B.

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