Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
In a direct variation described by the equation [tex]\( y = kx \)[/tex], [tex]\( k \)[/tex] is known as the constant of variation. To find the constant of variation for the point [tex]\((-3, 2)\)[/tex], we need to determine the value of [tex]\( k \)[/tex] that satisfies the equation when [tex]\( x = -3 \)[/tex] and [tex]\( y = 2 \)[/tex].
Given the equation [tex]\( y = kx \)[/tex]:
1. Substitute the coordinates [tex]\((-3, 2)\)[/tex] into the equation.
[tex]\[ 2 = k(-3) \][/tex]
2. Solve for [tex]\( k \)[/tex] by isolating [tex]\( k \)[/tex].
[tex]\[ k = \frac{2}{-3} \][/tex]
Thus, the constant of variation is:
[tex]\[ k = -\frac{2}{3} \][/tex]
Therefore, the correct answer is:
[tex]\( k = -\frac{2}{3} \)[/tex]
Given the equation [tex]\( y = kx \)[/tex]:
1. Substitute the coordinates [tex]\((-3, 2)\)[/tex] into the equation.
[tex]\[ 2 = k(-3) \][/tex]
2. Solve for [tex]\( k \)[/tex] by isolating [tex]\( k \)[/tex].
[tex]\[ k = \frac{2}{-3} \][/tex]
Thus, the constant of variation is:
[tex]\[ k = -\frac{2}{3} \][/tex]
Therefore, the correct answer is:
[tex]\( k = -\frac{2}{3} \)[/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.