Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What is the constant of variation, [tex]\( k \)[/tex], of the direct variation [tex]\( y = kx \)[/tex] through [tex]\((-3, 2)\)[/tex]?

A. [tex]\( k = -\frac{3}{2} \)[/tex]
B. [tex]\( k = -\frac{2}{3} \)[/tex]
C. [tex]\( k = \frac{2}{3} \)[/tex]
D. [tex]\( k = \frac{3}{2} \)[/tex]

Sagot :

GinnyAnswer
To determine the constant of variation, [tex]\( k \)[/tex], for the direct variation equation [tex]\( y = kx \)[/tex] given the point [tex]\((-3, 2)\)[/tex], follow these steps:

1. Start with the direct variation equation:
[tex]\[ y = kx \][/tex]

2. Substitute the given point [tex]\((-3, 2)\)[/tex] into the equation:
[tex]\[ 2 = k(-3) \][/tex]

3. Solve for [tex]\( k \)[/tex]:
[tex]\[ k = \frac{2}{-3} = -\frac{2}{3} \][/tex]

Therefore, the constant of variation [tex]\( k \)[/tex] is [tex]\(-\frac{2}{3}\)[/tex].

The correct answer is:
[tex]\( k = -\frac{2}{3} \)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.