Question

Which of the following could be an equation of a line of best fit for the data shown in the scatterplot?A.) y= -2x + 23B.) y= -1/2x + 23C.) y= 1/2x + 23D.) y= 2x + 23

Answer 1

The graph for the scattered points is a negative slope. That is the slope m must be negative.

Equation of line is given as y = mx + c. Consider option A which is y = -2x + 23, here m = -2

And y = -1/2x + 23, here m = -1/2. Therefore, our answer lies between options A and B. Now, let's plot the scattered points. See the diagrams below.

For y = -2x + 23, we have

For y = -1/2x + 23, we have

We can see that y = -2x + 23 is the closest choice to the scattered diagram given.

Therefore, option A is the correct answer.