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?
A. y = -x – 2
B. y = x + 2
C. y equals negative one-half x plus 7
D. y = -x + 7

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?
A. y = -x – 2 
B. y = x + 2 
C. y equals negative one-half x plus 7 
D. y = -x + 7

freckles · Answer

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the midsegment should be halfway between those parallel lines
so we know the line has the same slopes as the others 
so we the choice is definitely not C