What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)? k = –k equals negative StartFraction 3 O

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What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)? k = –k equals negative StartFraction 3 O

ver 2 EndFraction. k = –k equals negative StartFraction 2 Over 3 EndFraction. k = k equals StartFraction 2 Over 3 EndFraction. k = k equals StartFraction 3 Over 2 EndFraction.

Mathematics

2 answers:

Ket [755] · Answer 1 · 2023-12-23T15:18:27+03:00

Answer:

k equals negative StartFraction 2 Over 3 EndFraction

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

we have that

For x=-3, y=2

Find the value of the constant of proportionality k

$k=y/x$

substitute the value of y and x

$k=-\frac{2}{3}$

The linear equation is

$y=-\frac{2}{3}x$

therefore

k equals negative StartFraction 2 Over 3 EndFraction

Ede4ka [16] · Answer 2 · 2023-12-23T17:45:20+03:00

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

<h3>Further explanation </h3>

The constant of variation is the number which relates the two variables that directly proportional / inversely proportional to one another.

The direct variation definition is the mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. The examples of direct variation problems are the number of hours you work and the amount of your paycheck.

$y = kx$ , where $k$ is the constant of variation. Since $k$ is constant we can find $k$ when given any point by dividing the $y$ -coordinate by the $x$ -coordinate.