+0  
 
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avatar+761 

Help.

NotSoSmart  Sep 28, 2017
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1+0 Answers

 #1
avatar+77090 
+1

Let's just write an equation for the line itself

 

We have two points on the line (-6,0)  and (0,5)

 

Slope  =  [   5 - 0]  /  [  0 - -6 ] =    5 / 6

 

So....the equation becomes

 

y  = (5/6) (x  - 0 ) + 5

 

y =  (5/6)x  + 5      multiply through by 6

 

6y  =  5x  +  30     subtract   5x from both sides

 

-5x  + 6y   =  30     we want this to look similar to one of the given equations ....so .... multiply through by  -1

 

5x  - 6y   =  -30

 

Now....using either ≤  or  ≥    one of the following equations will be correct

 

5x  - 6y  ≤  -30   or

 

5x - 6y  ≥  -30  

 

We can pick any point in the shaded area to test  - (0,0)  seems easiest -  and see what  equation is the correct one

 

5(0)  - 6(0)  ≤  -30 

0  ≤  -30      nope!!!

 

5(0) - 6(0)  ≥  -30

0 ≥  30     yes  !!!

 

So....the correct answer is the last one...here's the graph : https://www.desmos.com/calculator/yl7kt7chbh

 

 

 

cool cool cool

CPhill  Sep 28, 2017
edited by CPhill  Sep 28, 2017

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