Answer: y = -4.5x
Explanation:
To see if there is a direct variation, we will check to see if there is a direct proportionality constant (usually represented by k). We will find this by dividing the y by x for each row.
45/-10 = -4.5
-4.5/1 = -4.5
-27/6 = -4.5
We see that this direct proportionality constant value is -4.5. This means the equation is;
y = -4.5x
We can also check our answer by graphing. I have graphed y = -4.5x and plotted all the given points. See attached. All of the given points do, and should if we are correct, fall on the line.