Ian J.

asked • 09/04/13

How Do You Graph This Equation 6x+y>-6

How Do You Graph?

Ian J.

Is It Possible To Show On A Graph,,, I'm Really Bad At This Style Of Math & I'm A Visual Learner
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09/05/13

Alexandra H.

I used http://www.webmath.com/plotineq.html
 
The line should be DASHED (< or >); solid lines indicate ≤ or ≥.
 
If you look at the image below, you will see that the line we graphed is y=-6x-6.
 
The first point we tested (0,0) is in the shaded region.  We knew to shade that region because (0,0) satisfied the inequality.
 
 
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09/05/13

1 Expert Answer

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Alexandra H. answered • 09/04/13

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Graph the line 6x+y=-6.
 
   y=-6x-6; slope = -6, y-intercept = -6
 
Pick a point above and below the line; does the point satisfy the inequality?
 
  Above (0,0)   : 6(0)+0>-6; 0>-6 TRUE
  Below (0,-10) : 6(0)+-10>-6; -10>-6 FALSE
 
Shade in the region that satisfies the inequality.
  Above the line was TRUE - shade
  Below the line was FALSE - do not shade
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