Question

x y
3 -9
5 -15
7 -21

given the table of values, identify the constant of the proportionally

Answer 1

The constant of proportionality, also known as the proportionality constant or the constant ratio, can be found by taking any two corresponding pairs of x and y values and dividing the y value by the x value.

For example, let's take the first pair of values: (3, -9)
The constant of proportionality can be found by dividing -9 by 3:
-9/3 = -3

Similarly, we can take the second pair of values: (5, -15)
The constant of proportionality can be found by dividing -15 by 5:
-15/5 = -3

Lastly, we can take the third pair of values: (7, -21)
The constant of proportionality can be found by dividing -21 by 7:
-21/7 = -3

In all three cases, the constant of proportionality is -3.