Which equation represents a line that passes through (–9, –3) and has a slope of –6? y – 9 = –6(x – 3)
y + 9 = –6(x + 3)
y – 3 = –6(x – 9)
y + 3 = –6(x + 9)

y+3= -6(x+9)

Step-by-step explanation:

Slope is represented as M

Name the numbers in bracket as y1 and x1

You have to use the formula which is:y-y1=m(x-x1)

Then you substitute the numbers into the formula

y--3=-6(x--9)

when two negatives meet the turn to positive

thats how we can conclude that the answer is y+3=-6(x+9)

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

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.