Aline passes through the points (2, 6) and (1, 4). what is its equation in slope-intercept form?

you can find the slope of this line by seeing how much change occurs. 2-1,6-4 therefore 1,2 rise over run. so the slope is 2. if we have the point 1,4 and we know the slope is 2 then we know it passes through 0,2 this is the y intercept. therefore y=2x +2

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.

answer: i'm not sure

step-by-step explanation: