Which of the lines graphed in the diagram represents the equation –4x + 6y = 12?
(Points : 1)
line a
line b
line c
line d

Question

Which of the lines graphed in the diagram represents the equation –4x + 6y = 12?
(Points : 1)
       line a
       line b
       line c
       line d

anonymous · Answer

attachment

mathlegend · Answer

Can you solve that for y? @blackwidow7337

anonymous · Answer

im confused as to how i do it.

mathlegend · Answer

Well first we need to get the y value by itself...
so lets add 4x to both sides
 –4x + 6y = 12?
+4x            +4x
-----------------
6y = 4x + 12

Do you understand so far?

anonymous · Answer

i think that it is line a but im not sure

mathlegend · Answer

Well, yes, anything in the y=mx+b form is a straight line.

mathlegend · Answer

So now lets solve for y

mathlegend · Answer

We must divide by 6... since it is being multiplied by the y variable... plus this isolates the y.

6y = 4x + 12


$$\frac{ 6y }{ 6 }=\frac{ 4x }{ 6 } + \frac{ 12 }{ 6 }$$

mathlegend · Answer

Now we can clean that up, right?

anonymous · Answer

yes

mathlegend · Answer

$$y=\frac{ 4x }{ 6 }+2$$

mathlegend · Answer

So on the y-intercept where do we start?

anonymous · Answer

oh its line b not a

mathlegend · Answer

Oh, no, forgive me. I did this wrong!!!

mathlegend · Answer

Lets start over.

mathlegend · Answer

–4x + 6y = 12

Lets solve for one variable... lets choose y... in order to do this we must substitute in a 0 for the 'x' to get rid of that...

-4(0) + 6y = 12

mathlegend · Answer

6y = 12

y = 2

This means that the 'y' coordinate is 2...

mathlegend · Answer

Now can you solve it for 'x'?