Mathematics
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OpenStudy (anonymous):
Graph the following linear inequality.
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OpenStudy (anonymous):
\[y \le8x+9\]
ganeshie8 (ganeshie8):
First graph the corresponding line :
y = 8x+9
ganeshie8 (ganeshie8):
knw how to graph a line ?
OpenStudy (anonymous):
Uhh, I think so lol
ganeshie8 (ganeshie8):
good :) then your 99% work is done.
you just need to know which side to shade for the given inequality. thats all
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ganeshie8 (ganeshie8):
could u show me the rough sketch of the line... .so that we can see which side to shade ?
OpenStudy (anonymous):
Lol wait, how do I know which points to plot?
ganeshie8 (ganeshie8):
you can plot ANY two points on the line
OpenStudy (anonymous):
really?! lol
ganeshie8 (ganeshie8):
y = 8x+9
put x = 0,
you get y = 9
so (0, 9) is one point on the line
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ganeshie8 (ganeshie8):
if you want another point,
simply plug another random value for x and get the corresponding value for y
OpenStudy (anonymous):
like 1?
y=8(1)+9
y=8+9
y=17?
OpenStudy (anonymous):
It only goes up to 10
ganeshie8 (ganeshie8):
yes so (1, 17) is another point on the line
now just draw a line thru these two points
ganeshie8 (ganeshie8):
oh, then try x = -1
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OpenStudy (anonymous):
Or -1
y=8(-1)+9
y=-8+9
y=1
ganeshie8 (ganeshie8):
yes (-1, 1) is yet another point on the line
ganeshie8 (ganeshie8):
so ur two points are :
(0, 9) and (-1, 1)
ganeshie8 (ganeshie8):
plot them and draw the line cutting thru them
OpenStudy (anonymous):
Do I graph in the direction of the sign?
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OpenStudy (anonymous):
I mean shade
ganeshie8 (ganeshie8):
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ganeshie8 (ganeshie8):
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