Which of the following inequalities matches the graph?

graph of an inequality with a solid line through the points (-2, 0) and (0, 3) with shading below the line

y

Question

Which of the following inequalities matches the graph?

graph of an inequality with a solid line through the points (-2, 0) and (0, 3) with shading below the line

 y < 1 over 3 x + 3

 y less than or greater to  3 over 2 x + 3

 y greater than or equal to 3 over 2 x + 3

 The correct inequality is not listed.

anonymous · Answer

@skullpatrol

anonymous · Answer

@Hero

anonymous · Answer

someone please help

anonymous · Answer

@tkhunny

tkhunny · Answer

you're going to need the equation of the line.

(-2, 0) and (0, 3) 

What's the chance you know the Intercept Form?

anonymous · Answer

i dont know the  Intercept Form

tkhunny · Answer

Too bad.  Everyone should.  I'll show it to you, just for fun, and we can see if you want to deal with it.

We are given the x-intercept (-2,0) and the y-intercept (0,3).  We can then simply write the equation of the line in Intercept Form

$\dfrac{x}{-2} + \dfrac{y}{3} = 1$

What do you think?  Too easy?

tkhunny · Answer

Just solve for y and you're on your way or put it in any other form with which you are familiar.