In order to determine which from the given equation represents the given data, first consider that while x increases y decreases. It means that the slope of the line is positive.
Furthermore, calculate the slope by using the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x1,y1) and (x2,y2) are two points of the table. You can select any pair of points, for example:
(x1,y1) = (0,2)
(x2,y2) = (2,-4)
replace the previous values into the formula for m:
[tex]m=\frac{-4-2_{}}{2-0}=-\frac{6}{2}=-3[/tex]
Hence, the slope of the line is -3.
Hence, you can conclude that the equation of the line that best respresents the given data is:
y = -3x + 2
