SOLUTION: the side of a quadrilateral lie on the lines y=4x+5, y=1/3x+7, 8x-2y=1, and x-3y=2. is the quadrilateral a parallelogram

Question 921791: the side of a quadrilateral lie on the lines y=4x+5, y=1/3x+7, 8x-2y=1, and x-3y=2. is the quadrilateral a parallelogram

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
a parallelogram is quadrilateral with both pairs of opposite sides parallel
let' graph them and see:
just find two points for each and draw a line through:
, find intercepts
if => => => y-intercept is at (,)
if => => => x-intercept is at (,)

if => => => y-intercept is at (,)
if => => => x-intercept is at (,)

if => => => y-intercept is at (,)
if => => => x-intercept is at (,)
and

if => => => y-intercept is at (,)
if => => => x-intercept is at (,)

both pairs of opposite sides are parallel; so, it's not a parallelogram
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