Question

If the parallel sides of a trapezoid contained by the lines y = -x + 5 and y = -x - 9, what equation represents the line contained by the midsegment?

Answer 1

well the slope of that line will be the same as the parallel lines because it will also be parallel to them
so that y = -x +/- something

Answer 2

the intercept on the y axis will be halfway between these lines
it = (+5-9) / 2 = -4/2 = -2
so now you've got your equation

Answer 3

Thank you @cwrw238
i got y=-x-2

Answer 4

thats it
yw