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Mathematics 17 Online
OpenStudy (anonymous):

Graph the following linear inequality.

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

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

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

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?

OpenStudy (anonymous):

I mean shade

ganeshie8 (ganeshie8):

|dw:1399961947405:dw|

ganeshie8 (ganeshie8):

|dw:1399961990764:dw|

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