What is the slope of the boundary for y

Question

What is the slope of the boundary for y < 3x + 2?
 A. 1 
 B. 2 
 C. 3 
 D. 4

anonymous · Answer

3

turingtest · Answer

Do you think that is correct counterfeit?

anonymous · Answer

Oh and BTW goodmorning guys :D

turingtest · Answer

good morning :)
why do you think the answer is 3 ?

anonymous · Answer

Want me to be honest? Im on here this morning for answers because i dont understand this at all :(

turingtest · Answer

Ah, well let's try to fix that then ;)

anonymous · Answer

Ok :D

turingtest · Answer

have you heard of the point-slope form of a line?$$y=mx+b$$?

turingtest · Answer

sorry, that's slope-intercept form

anonymous · Answer

Ive heard of it yes, but do i remember it? No

turingtest · Answer

ok, well$$y=mx+b$$is an equation of a line
in this equation, the slope is represented by $m$ and the y-intercept is $b$ (whatever number that is)

turingtest · Answer

|dw:1333030760466:dw|here is an imaginary drawing of $$y=mx+b$$ you can see that it intercepts the y-axis at y=b
the slope of the line is m
(btw if m was negative the line would point down)

turingtest · Answer

you have$$y<3x+2$$which is the the set of all points under the line$$y=3x+2$$ so that would be the shaded region|dw:1333030953621:dw|we shaded the area $under$ the line because we have the  "less than" symbol <, and the shaded area is where y<3x+2
if we had y>3x+2 we would shade the region $above$ the line
make sense?