Question

Urgent please help .On a piece of graph paper, graph y+2<-2/3x+4

Answer 1

Take a look at the function $y+2=- \frac{2}{3}x+4$. You can simplify it to $y=- \frac{2}{3}x+2$. If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line $y+2=- \frac{2}{3}x+4$.

Since $y+2\le - \frac{2}{3}x+4$, the line $y+2=- \frac{2}{3}x+4$ should belong to the shaded area. 

Now take point (0,0). Since $0+2\le- \frac{2}{3}\cdot 0+4$, you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.