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3 years ago

What is a constant of proportionality in the equation 3y equals 2x? _/_

Mathematics

1 answer:

kogti [31]3 years ago

5 0

Answer:

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

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 $y/x=k$ or $y=kx$

In this problem we have

$3y=2x$

Isolate the variable y

Divide by 3 both sides

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

Remember that

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

The slope of the line m is

$m=\frac{2}{3}$

therefore

The constant of proportionality k is

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

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