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White raven [17]
3 years ago
12

Find the constant of variation k for the direct variation. 2x + 6y = 0

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

k=-\frac{1}{3}

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 k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

2x+6y=0

Isolate the variable y

subtract 2x both sides

2x+6y-2x=0-2x

6y=-2x

Divide by 6 both sides

y=-\frac{1}{3}x

therefore

The constant of variation is equal to

k=-\frac{1}{3}

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