Which is the slope of a line that is parallel to the line represented by the equation x-y=8

slope of parral line is same as slope of line its 1

1

Step-by-step explanation:

Parallel lines always have the same slope. If you rework the equation x-y=8 into y=mx+b form you will get:

-y=-x+8 and then

y = x - 8

Since a slope of x is just a slope of 1, that means any line parallel to this line will also have a slope of 1.

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.

its not b

step-by-step explanation: