Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields 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

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.