Which inequality does the graph represent? y ≤ 1 – 3x y 1 – 3x y ≥ 1 – 3x

Question

Which inequality does the graph represent? 
 y ≤ 1 – 3x
       y < 1 – 3x
       y > 1 – 3x
       y ≥ 1 – 3x

anonymous · Answer

attachment

paxpolaris · Answer

any guesses?

paxpolaris · Answer

Since the region below the line is shaded: $y<1-3x$

And since the line itself is solid, and not dashed ... we also have $y=1-3x$ as part of the solution.

paxpolaris · Answer

So the answer is:$$y \le 1-3x$$

anonymous · Answer

@PaxPolaris You saved my life omfl I understand it now. Thank you so much

anonymous · Answer

So on this one, I took (-6, 49) and made -6 ≥ –2 * 49 – 4 and that was the only one that was true, so is this the right answer? (I also did this with the other 3 and none of them worked)

paxpolaris · Answer

the equation of the line is: $y=-4x+25$, but the line is dashed and not solid, 
.... so the line itself is NOT part of the solution....

Since the shaded region is BELOW the line, the the answer is $$y<-4x+25$$

paxpolaris · Answer

the point (-6,49) is on the line ... so it itself is not part of the solution 

you use points (0,25) and (-6,49) to find the equation of the line ... and then say that the shaded region is below that line