write the slope-intercept form of the equation of the line that passes through the point (-4,-1) and is parallel to the line y=3/4x-1

Step-by-step explanation:

Parallel lines have same slope.

y= mx + b

Slope = m  & b = y-intercept

y = 3/4 x - 1

m = 3/4 ;   (-4 , -1)

y - y1 = m(x - x1)

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.

10000

step-by-step explanation: divide by 2,