Respuesta :

[tex]\huge\boxed{Hello!}[/tex]

Remember, the x-intercept always has a y-coordinate of 0.

So the x-intercept is: (3,0)

Now, to find the y-intercept, we should first convert 12x-9y=36 into y=mx+b form.

First of all, we move 12x to the other side.

Now, our equation looks like this: -9x=-12x+36

Now, we divide both sides by -9:

y=-12x+4

And when our equation is in y=mx+b form, we know that b is the y-intercept (4 in this case)

So the y-intercept is (4, 0)

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Note:

  • X-intercepts have a y-coordinate of 0
  • Y-intercepts have an x-coordinate of 0.

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[tex]\huge\boxed{Therefore, (3,0) \: and (4,0)\: are\: correct:)}\\Hope \: \:it\:\: helps! :)[/tex]

[tex]\huge\bold{Good\:\: luck!}[/tex]

[tex]\boxed{UnknownGal\:here\:to\;help}[/tex]

firered21

Answer:

x-intercept = (3,0)

y-intercept = (0,-4)

Step-by-step explanation:

First we must convert 12x - 9y = 36 to slope intercept form, which is written as y=mx+b (where m is slope and b is y-intercept).

So we will now subtract 12x on both sides to get -9y = -12x + 36. Next we will divide -9 on both sides in order to isolate y.

Now we have:

[tex]y = \frac{ - 12}{ - 9} x - 4[/tex]

(Don't forget to simplify):

y = 12/9x - 4 becomes y = 4/3x - 4

Now, since b is the y-intercept and -4 is in the position of b, we can tell that -4 is the y-intercept. So it will be written as (0, -4), since ordered pairs are written in the form (x,y).

So to recap:

The x-intercept is (3,0) because this is the point in which the line crosses the x-axis. Therefore when the x-coordinate is 3, the y-coordinate must be 0.

The y-intercept is (0,-4) because since the equation is now in y=mx+b, we know that -4 is in the position of b, and so therefore it must be the y-intercept. Additionally coordinates are always written as (x,y).

Hope this helps you :)

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