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OLEGan [10]
3 years ago
13

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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(5.4582 ; 6.8618)

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Given the data:

6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5

Sample mean, xbar = Σx / n

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xbar = 308 / 50 = 6.16

Using a Calculator :

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