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

Algebra ->  Parallelograms -> 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       Log On


   

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) About Me  (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:
y=4x%2B5, find intercepts
if x=0=> y=4%2A0%2B5=> y=5=> y-intercept is at (0,5)
if y=0=> 0=4x%2B5=> x=-5%2F4=> x-intercept is at (-5%2F4,0)

y=%281%2F3%29x%2B7
if x=0=> y=%281%2F3%290%2B7=> y=7=> y-intercept is at (0,7)
if y=0=> 0=%281%2F3%29x%2B7=> x=-7%2F%281%2F3%29=-21=> x-intercept is at (-21,0)
8x-2y=1
if x=0=> 8%2A0-2y=1=> y=-1%2F2=> y-intercept is at (0,-1%2F2)
if y=0=> 8x-2%2A0=1=> x=1%2F8=> x-intercept is at (1%2F8,0)
and x-3y=2

if x=0=> 0-3y=2=> y=-2%2F3=> y-intercept is at (0,-2%2F3)
if y=0=> x-3%2A0=2=> x=2=> x-intercept is at (2,0)




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