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Change the given equation into slope-intercept form. 4x – 3y = -12

Mathematics
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Do you know the equation for the slope-intercept form?
no this is a pretest so i havent learned it exactly yet
Ok!

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Other answers:

The slope-intercept form is: y= ax+b
As you can see, we're trying to isolate the y on one side and bring everything else to the other.
The y is also positive and has only one of them ( So there is not 2y = ax + b for example)
ok
im still confused
Let's do it step by step. Can you make your y by itself? (Bring the x over)
ok. and no, i dont know how to do any of it. Im new to this kind of stuff and its confusing lol
I'll give you a simple equation x + 1 = 5
Would it be mathematically correct to say that x = 4? Because x+1-1 = 5-1
yes
Exactly! So it is the same thing here but we add something harder. We have to move variables to the other side as well!
4x -3y = 12 Would it be correct to say that 4x-4x-3y = 12-4x ???
So -3y = 12-4x?
ok but whats next?
-3/2?
Well as you can see, we've already isolated the y. What we want to do is get only one y and to make it positive.
How do we get rid of the -3 in front of y?
divide it by 3?
By -3, close ;)
So now... y = ?
1
Well there is one y but I mean what is on the other side of y
what is 12/-3 and -4x/-3
-4 is the first one, the other us a decimal 1.33 repeating
Correct. You could also leave it as a fraction.
So y = 4/3x -4
That would be your answer. 4/3 is the slope and -4 is the y-intercept
It has to be in y = mx + b form
so it would be D?
We just did it together....y = 4/3x -4
You said it yourself.... -4!!!
lol. sorry i meant C. thankyouuuu

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