Question

Which graph is the line (y-3)=-3/4(x-6) ?

A.http://static.k12.com/calms_media/media/1512000_1512500/1512032/1/708e9c6925ff0f9fb25b5fab14cab0556d7295c7/MS_IMC_072914_1811217.jpg

B.http://static.k12.com/calms_media/media/1512000_1512500/1512033/1/b0d2e4b1a08893cf04e489f19e5bfbcf3f96d2b0/MS_IMC_072914_1811218.jpg

C.http://static.k12.com/calms_media/media/1512000_1512500/1512034/1/4d5e29a763aececbf0550204e90237ba2a2a83fd/MS_IMC_072914_1811219.jpg

D.http://static.k12.com/calms_media/media/1512000_1512500/1512035/1/1ed5330078e322ce5ae0ca76b929f258ac4999d3/MS_IMC_072914_1811220.jpg

Answer 1

@Algorithmic

Answer 2

I know the rise and run but idk how to use it here it's rather confusing

Answer 3

Do you mean this: \[(y-3)=\dfrac{-3}{4}(x-6)\]
or this: \[(y-3)=\dfrac{-3}{4(x-6)}\]

Answer 4

Yeah but idk how to get that or how to find my answer

Answer 5

Do you know how to distribute?

Answer 6

Not really :/

Answer 7

Let us focus on one side of the equation.
\[\dfrac{-3}{4}(x-6)\]

When we say distribute we do:
\[\dfrac{-3}{4} \cdot x~and~ \dfrac{-3}{4} \cdot - 6\]
Understand so far?

Answer 8

Ok yeah that makes sense

Answer 9

I do hate being rude but I need to get these done asap i hope that doesn't sound rude :/

Answer 10

Okay, so now we have:
\[(y-3)=\dfrac{-3}{4}x + 4.5\]
So now you can see how we are approaching a equation that we can easily graph correct? (It will be in the form \(y = mx + c\)).

Answer 11

Ok I'm starting to get it

Answer 12

Okay, that is good.

Now we can see the \((y - 3)\) part. We can drop the round brackets, due to them having no value here. So we look at them like: \(y - 3\).

\[y - 3 = \dfrac{-3}{4}x + 4.5\]

Now isolate \(y\).

Can you do that?

Answer 13

By isolate do you mean take it away?

Answer 14

No, I mean set the equation to \(y\) so here is an example:
\[y = 2x + 5\]

See now?

To do this for: \[y - 3 = \dfrac{-3}{4}x + 4.5\]

We can move the \(-3\) on the left hand side of the equation. \[y = \dfrac{-3}{4}x + 4.5 + 3\] The \(-3\) becomes positive since we moved it over the equal sign. So:
\[y = \dfrac{-3}{4}x + 7.5\]

Is our equation that we can easily graph.

Answer 15

Ok i get it

Answer 16

\[y = \dfrac{-3}{4}x + 7.5\]

\(\dfrac{-3}{4}x~\text{is our slope}\) and \(7.5~\text{is our y-intercept.}\)

Answer 17

Remember how to use rise and run here?

Answer 18

Yup yup

Answer 19

I looked at each of them did rise and run and got C

Answer 20

C is not correct, remember that the y-intercept is 7.5 so that line has to intersect that point on the y-axis.

Answer 21

Oh yeah ok 1 moment it'd be A thats the only one the intersects between the Y axis

Answer 22

????

Answer 23

Yes, correct.

Answer 24

Ok do you have time for some more?

Answer 25

????

Answer 26

Sorry, actually I have to do something for school. I am sure if you post a new question someone else will come to assist you.