Please help asap. No links for a answer or I will report you
8th Grade

B

Step-by-step explanation:

A linear function is described by a x term to the power of 1 or even 0. A function when x is to the second power is most usually not a linear function.

In answer A, you have x multiplied against -3x. This will cause an x squared term, so this is not a linear function.

In answer B, you have 1/2 multiplied against x, which is a regular x term subtracted by 2x, causing a regular x term, meaning this function is linear. However, in the small possibility it is not, we will keep going.

In answer C, there is an x squared term so this is not linear.

In answer D, the expression has 1/2x times 2x, which will cause an x squared term.

Thus, the answer is B, which is the only equation without an x squared term.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

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