Question

tell me how to graph this on a coordinate plane: y is greater than or equal to 2/3x-2

Answer 1

\[y \ge \frac{ 2 }{ 3}x-2\]

Answer 2

Now you're graphing the line y = 2/3x - 2, but this time it's a solid line and you're shading above the line.

Answer 3

so if it greater than or equal to or less than or equal to,it means, a solid line. if it is greater you shade above the line... right?

Answer 4

yes, you are absolutely correct

Answer 5

if there's an "or equal to" added in, the line is solid because you're including the boundary

Answer 6

oh i think i am catching on now a bit

Answer 7

otherwise, it's dashed to mean you're excluding the boundary

Answer 8

okay, now they through in a little curve ball. the next one is: y> -8

Answer 9

y > -8 has the boundary line y = -8 and this boundary line is a dashed line

Answer 10

So graph this dashed line, then shade above the dashed line

Answer 11

can you show me the graph, just to make sure mine is correct?

Answer 12

Sure thing, one moment

Answer 13

okay thank you!

Answer 14

see attached

Answer 15

last but not least: 2x + 3y < 9
which is y< -2/3x +3 .. so i graph this line: y= -2/3x +3 with a dashed line and shade below it. right?

Answer 16

btw, I'm using geogebra to make all these graphs

Geogebra: http://www.geogebra.org/cms/

Answer 17

you are 100% correct, nice work

Answer 18

okay well thank you for all your help c: you are such a life saver. someone else tried to explain it but it was just too technical. thanks so much

Answer 19

you're welcome