If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment. Show equations and all work that leads to your answer.

Question

If the parallel sides of a trapezoid are contained by the lines  and , find the equation of the line that contains the midsegment. Show equations and all work that leads to your answer.

hero · Answer

Please post the picture associated with the question.

anonymous · Answer

There is not a picture.

anonymous · Answer

One second, the two base are y = - 1/4 x + 5 & y = -1/4 x - 1

hero · Answer

Okay, that helps

hero · Answer

Well, the bottom base and the top base are both equidistant from the mid-segment and the slopes are all the same so it should be a matter of simply figuring out the b value by evaluating

$$\frac{5 - 1}{2}$$

anonymous · Answer

okay so, 5-1 divided by 2 = 2

hero · Answer

Yes, so what is the equation of the mid-line?

anonymous · Answer

so it would be y = (-1/4)x + 2 ?

hero · Answer

Precisely