Answered

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Find the equation of the line that is perpendicular to y = 2x + 8
A) y =
1
2
x – 4
B) y = –
1
2
x – 4
C) y = 2x + 12
D) y = –2x + 12

Sagot :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf B. \ y= - \frac{1}{2} x-4}}[/tex]

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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