Thank you for the opportunity to help you with your question!

To find the line that is parallel to the line that goes through (2,-1) and(8,-4),the slope of both the line must be equal.

Now slope of the line through the point (x1,y1) and (x2,y2) is given by (y2-y1)/(x2-x1)

Here (x1,y1)= (2,-1)

(x2,y2)=(8,-4)

Slope =(-4-(-1))/(8-2)=-3/6 =-1/2

So the equation of the line must be in form of y=-x/2 +c,where c= y-intercept.

As the equation of the line is not provided(option not given),therefore please select the option with the line with the slope as -1/2.

---Thanks----

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