*fan and medal awarded* The graph below represents which system of inequalities? y = x + 3 y x + 3

Question

*fan and medal awarded* The graph below represents which system of inequalities? y <= -2x + 3 y <= x + 3 y >= -2x + 3 y >= x + 3 y <= -3x + 2 y <= -x + 2 y > -2x + 3 y > x + 3

anonymous · Answer

attachment

stamp · Answer

They are both <= graphs.

stamp · Answer

One has a + slope, the other has a - slope.

anonymous · Answer

i think its C but im not sure

stamp · Answer

They share a y-intercept of b=3

stamp · Answer

The + slope is m=1, the negative slope is m < -1.

stamp · Answer

It cannot be C because -3x and -x both have negative slopes. One graph is + slope, the other graph is - slope.

anonymous · Answer

oh. okay. which do u think it is ?

stamp · Answer

I told you. + slope of 1, so y <= x + 3. 

The other graph has a - slope < -1, so y <= -<1x + 3.

stamp · Answer

The fact that each graph is <= rules out choices B and D.

Choices A and C remain.

I told you that one slope is +, the other is -.

A has a negative and a positive graph,

C has two negative graphs.

Now you tell ME which one you think it is.

anonymous · Answer

A

stamp · Answer

Congratulations @mikaa_toxica13 , welcome to math.

anonymous · Answer

lol thanks

stamp · Answer

Remember how I mentioned the - slope was < -1 ? That means -2, or -3, so on. You know that because the more vertical a line graph becomes, the larger the number attached to its slope. So since I saw the negative graph got steeper than the positive graph, I knew the slope was - 2, or -3, or something more negative than -1. Lo and behold, the slope was -2.

To do well with line graphs, make sure you study the properties of line graphs. Just knowing a few basics can help you along greatly.

stamp · Answer

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stamp · Answer

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anonymous · Answer

its hard for me to really learn anything. i havent found what helps me learn best yet.

stamp · Answer

Here are the different kinds of positive slopes. See how as the slope gets larger the lines get more vertical? this is always true. Use this knowledge to your benefit.|dw:1361808317617:dw|

stamp · Answer

The smaller a slope gets, the more horizontal a line becomes|dw:1361808410341:dw|.

stamp · Answer

Negative lines. As a slope of a line approaches zero, the line gets more horizontal. Please remember that.
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The further a slope moves away from 0, the more vertical the slope gets. This is just as important.