HELP ASAP marking brainliest if you can also explain
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Question is in the image

Finding slope:

Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1

I choose (4,3) and (2,2)

2-3 divided by 2-4

= -1/2

Then to get the y intercept you use the formula: y=mx+b

For the x and y pick a cordinate to plug in. For m plug in your slope.

I pick (6,4)

4=-1/2×6+b

Multiply -1/2 and 6 to get -3 and plug that in

4=-3+b

Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7

7=b

Y-intercept =7

Now plug in the slope and y-intercept into the slope intercept format and get:

Y=-1/2x+7

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.

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step-by-step explanation: