EmeraldWonder

The answer for this one was actually C.

This is because that inequality sign is saying that y is greater to or equal to 27 which is why it would be that y is at most 27. 

Hope this helps ;P

Your welcome Nick ;P

I would say the answer is D. 

That is because in that number line 2 is included which would not make the club "official". It needs 5 or more members. If the dot was at 5 then the dot would have been shaded. Since its less, which isnt "official", the dot should not be shaded. But the line is pointed in the correct direction since it needs more than 2 memebers. So it increases to the right. 

Hope this helps ;P

I redited my answer to give your standard form. 

You are given the y-interecept -2 which is also written as (0, -2) 

Because we know the slope and a point we can use the point-slope formula to write and equation for the line. The point-slope formula states: (y−y1) = m(x−x1)

Where m is the slope and (x1,y1) is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

\((y--2) = 3(x-0)\)

\((y+2)=3(x-0)\)

The slope-intercept form of a linear equation is: y=mx+b

\(y + 2= (3*x)+(3*0)\)

\(y+2=3x+0\)

\(y+2-2=3x+0-2\)

\(y=3x-2\)

Then write it in standard form:

\(y=3x-2\)

\(y+2=3x-2+2\)

\(y+2=3x\)

\(y+2-y=3x-y\)

\(2=3x-y\)

Your standard form is 2

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This is actually really cool ;P