Consider the system of equations. y = –x + 3 y = –x – 3 The graph of the first equation is shown by the orange line. On a coordinate plane, an orange line goes through points (0, 3) and (3, 0). What is the slope of the orange line? If the second equation was drawn on the same graph, what would be its slope? If the lines of both equations were shown on the same graph, they would . The system of equations has .

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: what is the question you're trying to ask?

step-by-step explanation:

do it yourself this is easy

step-by-step explanation: