Answer:
D. [tex]y=-0.927x+13.634[/tex]
Step-by-step explanation:
We graph the points on the graph. The graph is attached.
Let us take two points (1, 14) and (15, 1), and calculate the slope [tex]m[/tex]between them (we choose these points because the line passing through them will be the best fit for all points)
[tex]m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286[/tex]
Thus we have the equation
[tex]y=-0.9286x+b[/tex]
Let us now calculate [tex]b[/tex] from the point [tex](1,14)[/tex]
[tex]14=-0.9286(1)+b[/tex]
[tex]b=14.9286[/tex]
So the equation we get is
[tex]y=-0.9286x+14.9286[/tex]
Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. [tex]y=-0.927x+13.634[/tex] is the closest one, so we pick it.
