How do I graph this expression?
Due to keyboard restraints, the symbol <- will mean "equal to or less than".
x<- 1/2y
And that's all. Simple, right?
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First of all, <= is how "less than or equal to" is traditionally written.
So you need to graph x <= 1/2 y
Graphing is always easiest with y by itself, and first. So flipping this around (including the sign), gives
1/2 y >= x
Multiplying by 2 gives y >= 2x
To graph this, first graph the line y = 2x: start with a point at the origin, go up 2 over 1, put a point, and connect.
This should be a solid line, because it is >= (it would be dotted if it was just >).
Then, since it is >=, color above that line.
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draw the equation of the line y=2x. The area x <= (1/2)y is the same as y <=2x, which is everything below the line.
y
6 | ______x
5 | _____x
4 | ____x
3 | ___x everything
2 | __x below this
1 | _x line is x <=(1/2)y
0 |x__________________x
0```1```2```3``4
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