Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.