Algebra homework help needed: which of the following lines is parallel?

label Algebra
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which of the following lines is parallel to the line that goes through the points (2, -1) and (8, -4)
Nov 2nd, 2015

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----

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 2nd, 2015

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