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4x - 3y = 3

The first thing you have to do is solve for 'y' in order to put it in slope intercept form.

So...

- 4x on both sides: - 3y = 3 - 4x

ordinarily you will have the number with the x before your y-intercept (3), in order to do that you have to carry the negative sign (-) with your 4x.

You know have: - 3y = -4x + 3

Next you have to divide by -3 in order to get 'y' by itself.

So...

y = (-4x + 3) / -3

you divide everything in parenthesis by -3.

SO... y = 4/3x - 9 = slope intercept form

You know have your slope intercept form.

(4/3 is your slope and -9 is your y-intercept)

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Q: What is the slope intercept form of 4x-3y equals 3?
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