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Mathematics 15 Online
OpenStudy (anonymous):

Which of the following inequalities matches the graph?

OpenStudy (wolfe8):

I am already here :D

OpenStudy (anonymous):

OpenStudy (anonymous):

hey theree :D

OpenStudy (wolfe8):

Ah so here you will have to figure out the equation of the straight line first :)

OpenStudy (anonymous):

i'm not sure how i'm supposed to do that :$

OpenStudy (wolfe8):

Ah okay. So recall the general form, y=mx+b where m is the gradient and b is the y-intercept. For this question, finding m and b should be enough to figure out the equation :)

OpenStudy (anonymous):

ooooo wait the correct inequality isn't listed. am i right? isnt the sign supposed to go the other way

OpenStudy (wolfe8):

I see the answer listed :) Can you tell me what you got for the line equation?

OpenStudy (anonymous):

pellet :/ ummmmmmmmm i really don't know lol what is it?

OpenStudy (wolfe8):

Well you can see the intercept is at y=3, and the gradient is 6. Now, I will assume you know how to find the gradient. So the equation is y=6x+3. Write this as an inequality and get \[y <6x+3\] because it is to the left of the line. Rearrange that you will get?

OpenStudy (anonymous):

6x-y<-3 ?

OpenStudy (wolfe8):

Can you tell me why it is a -y on the left side?

OpenStudy (anonymous):

because to get the 6 on the other side don't you have to subtract 6 on both ends idk

OpenStudy (wolfe8):

But to get 6x to the other side you have to subtract both sides with 6x. Leaving -6x on the left and no change to the y :)

OpenStudy (anonymous):

ohhh trueeeeeeeee. so it's really -6x+y<-3 ?

OpenStudy (wolfe8):

Yup yup. :)

OpenStudy (texaschic101):

good work both of you :)

OpenStudy (anonymous):

yayyyyy \(^o^)/ thank you haha

OpenStudy (texaschic101):

:)

OpenStudy (wolfe8):

Good job :D And thanks @texaschic101 :D

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