Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the equation of the line that is perpendicular to the line y = 2/3 x + 3 and goes through the point (0, 8).

Sagot :

kaydenkohl

Answer:

-3/2x + 8

Step-by-step explanation:

To find the slope of the perpendicular line, you take the negative reciprocal first.

2/3 -> -3/2

So far, we have y = -3/2 x + b. (since we use mx + b)

Since you asked for the line to go through (0, 8), we would usually sub in values like below, but since 8 is the y-intercept since x = 0 of the point, and we need the y-intercept, put 8 as the y-intercept.

y = -3/2 x + b

8 = -3/2(0) + b

8 = 0 + b

b = 8

So the equation that passes (0, 8) and is perpendicular to y = 2/3 x + 3 is

-3/2x + 8

Your welcome!

Kayden Kohl

8th Grade

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.