Here's a graph of a linear function. write the
equation that describes that function.
express it in slope-intercept form.

!

The Answer is: y = 1/2x + 4

Step-by-step explanation:

From the line, find two points: (-2, 3) and (-4, 2)

Use the equation to find the slope:

m = (y - y1)/(x - x1)

m = (3 - 2)/(-2 - (-4))

m = 1 / -2 + 4

m = 1/2

Start with the point slope form of the equation, take one of the points, (-4, 2), and solve for y:

y - y1 = m(x - x1)

y - 2 = 1/2(x - (-4))

y - 2 = 1/2(x + 4)

y - 2 = 1/2x + 2

y = 1/2x + 4

Proof:

f(-2) = 1/2(-2) + 4

= -1 + 4 = 3, giving (-2, 3)

Hope this helps :-)

720

step-by-step explanation:

first i did work 2nd i did work and 3rd i did work

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.