Change each standard form equation to slope-intercept form! ! show all work here. ( giving brainest) and a lot of points)3x + y = 128 = y + 5x6x + 3y = -9x - 5y = 55-4x - y = -2-16 = -4x + 2y

Hello! 

Slope-intercept form is this one:  where a is the slope and b the intercept. 

So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).

1) 3x + y = 12

You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:



To finish, we rearrange this equation to the form y=a*x+b 



So, the slope is -3 and the intercept is 12

2) 8=y+5x

You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:



To finish, we rearrange this equation to the form y=a*x+b 



So, the slope is -5 and the intercept is 8

3) 6x + 3y = -9

You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:



Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.



To finish, we rearrange this equation to the form y=a*x+b 



So, the slope is -2 and the intercept is 3

4) x - 5y = 55

You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:



Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.



To finish, we rearrange this equation to the form y=a*x+b 



So, the slope is 1/5 and the intercept is -11

5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:

 

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.



To finish, we rearrange this equation to the form y=a*x+b 



So, the slope is -4 and the intercept is 2

6) -16 = -4x + 2y

You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:



Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.



To finish, we rearrange this equation to the form y=a*x+b 



So, the slope is 2 and the intercept is -8

I hope that this helps. Have a nice day!