Question

Can someone please take a look at the attachment and tell me what the answer is? Serious answers only please!

Answer 1

The solid line indicates that the line itself is included in the solutions.  That the shaded area is to the left, or under, the line means that y≤the line.

To find the equation of the line you first find the slope or m using any two points.

m=(y2-y1)/(x2-x1)  in this case you are given (2,-5) and (-2, 3) so

m=(3--5)/(-2-2)

m=8/-4

m=-2

So far for y≤mx+b we have:

y=-2x+b  using either point we can solve for b, I'll use (2,-5)

-5=-2(2)+b

-5=-4+b

-1=b

So the line is:

y=-2x-1  and since y≤ the line:

y≤-2x-1