The unchanging value of the ratio between two proportional quantities is the constant of proportionality. the constant rate. the x-value of an ordered pair. the y-value of an ordered pair. not

A. The constant of proportionality.

Step-by-step explanation:

We are asked to choose the option that represents the unchanging value of the ratio between two proportional quantities.

Proportionality is of two types:

Since we know that a directly proportional equation is in form , where x and y are two directly proportional quantities and k is the constant of proportionality.

In direct proportion when x increase y also increases and when x decreases, y decreases as well.

Since we know that a inversely equation is in form , where x and y are two inversely proportional quantities and k is the constant of proportionality.

In inverse proportionality, when x increases y decreases and when x decreases, y increases.

Since constant of proportionality doesn't change either in direct proportion or in inverse proportion, therefore, our answer is the constant of proportionality and option A is the correct choice.

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5