anonymous
  • anonymous
HElp me please!!!!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
do you know how to graph `y = -2x - 2` ?
jim_thompson5910
  • jim_thompson5910
y = -2x - 2 is a linear equation. Ie, a straight line
jim_thompson5910
  • jim_thompson5910
if x = 0 for instance, then y is... y = -2x - 2 y = -2*0 - 2 ... replace x with 0 y = 0 - 2 y = -2 so we have the point (0,-2). Do you see how I got this?

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jim_thompson5910
  • jim_thompson5910
now use x = 1 if x = 1, then y = ???
jim_thompson5910
  • jim_thompson5910
you did it right
jim_thompson5910
  • jim_thompson5910
another point on this line is (1,-4)
jim_thompson5910
  • jim_thompson5910
plot the two points (0,-2) and (1,-4). Draw a straight line through them since we have this sign ≥, which has a line under the ">", we will make this boundary line solid
jim_thompson5910
  • jim_thompson5910
yeah because of that underline
jim_thompson5910
  • jim_thompson5910
IF there wasn't an underline, then it would be a dotted or dashed boundary line
jim_thompson5910
  • jim_thompson5910
we can use desmos to graph https://www.desmos.com/calculator
jim_thompson5910
  • jim_thompson5910
type `y >= -2x-2` to mean \(\Large y \ge -2x-2\)
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
as for the other inequality y + x ≥ 0 is the same as y ≥ -x (Subtract x from both sides)
jim_thompson5910
  • jim_thompson5910
you'll need to graph y = -x then shade above that solid boundary line
jim_thompson5910
  • jim_thompson5910
notice how in your desmos graph, the shading is above the boundary line because of the > symbol
jim_thompson5910
  • jim_thompson5910
do you know how to graph y = -x ?
jim_thompson5910
  • jim_thompson5910
it's very similar to how we graphed y = -2x-2
jim_thompson5910
  • jim_thompson5910
if x = 0, then what is y when y = -x ?
jim_thompson5910
  • jim_thompson5910
so one point on it is (0,0)
jim_thompson5910
  • jim_thompson5910
then if x = 1, y = ???
jim_thompson5910
  • jim_thompson5910
yep so we know the two points on it are (0,0) and (1,-1)
jim_thompson5910
  • jim_thompson5910
once you have y = -x graphed, you shade above the boundary line why above? because of the > sign. This only works if y is isolated why is the boundary line solid? because there is an underline under the >
jim_thompson5910
  • jim_thompson5910
now do both graphs at the same time
jim_thompson5910
  • jim_thompson5910
very good
jim_thompson5910
  • jim_thompson5910
the final step is to only shade where the two regions overlap one another
jim_thompson5910
  • jim_thompson5910
yeah pretty much
jim_thompson5910
  • jim_thompson5910
yeah you follow all those steps. Using desmos, or anything like it, is a good way to check the result
jim_thompson5910
  • jim_thompson5910
no problem

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