Question

This is a multiple choice question no need for it to be long

Answer 1

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:

`m=(y_2-y_1)/(x_2-x_1)`

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:

`m=\frac{-4-2_{}}{2-0}=-(6)/(2)=-3`

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