Use the table to answer the question.

Question

x

y

3 −9
5 −15
7 −21
Given the table of values, identify the constant of proportionality.

(1 point) .

Answer 1

To find the constant of proportionality from the table of values, we look for the ratio of \( y \) to \( x \) for each pair of values.

The constant of proportionality \( k \) can be calculated as \( k = \frac{y}{x} \).

Given:

1. For \( x = 3, y = -9 \): \[ k = \frac{-9}{3} = -3 \]

2. For \( x = 5, y = -15 \): \[ k = \frac{-15}{5} = -3 \]

3. For \( x = 7, y = -21 \): \[ k = \frac{-21}{7} = -3 \]

In each case, the constant of proportionality \( k \) is \( -3 \).

Thus, the constant of proportionality is \(\boxed{-3}\).