What is the slope of a line perpendicular?

y=-3/4x +3

4/3        equation however is y = 4/3x + 3 (the plus three can be changed to anything

Step-by-step explanation:

Lemme just tell you this:

If you are looking for the equation of a completely perpendicular line,

just find the COMPLETE OPPOSITE of the current slope. -3/4x would be 4/3 because it is the opposite in terms of positive or negativeness and the way the numbers are arranged. Change the sign, flip the number, and you are good to go.

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.