rewrite into slope intercept form.

1) 3x-2y=7
answer: y=3/2x-7/2

2) 8x=y-1/2
answer: y=16x+1

3) 4x+2/3y=8
answer: y=-6x-12

are these correct?

It would appear so, but you make it hard to tell, being so sloppy with parentheses. Much better would have been

3x-2y=7
8x=(y-1)/2
4x+(2/3)y=8

sorry about that

2) would be y=8x+1/2

3) would be y=-6x+12
No 1 is correct

To rewrite a linear equation into slope-intercept form, which has the form "y = mx + b", follow these steps:

1) Solve the equation to isolate the variable "y" on one side of the equation.
2) Simplify the equation by dividing and combining like terms, if necessary.
3) Write the equation in the form "y = mx + b", where "m" is the slope and "b" is the y-intercept.

Now let's apply these steps to the given equations:

1) 3x - 2y = 7
Subtract 3x from both sides:
-2y = -3x + 7
Divide both sides by -2 to solve for y:
y = (3/2)x - 7/2

So the rewritten equation in slope-intercept form is y = (3/2)x - 7/2.

2) 8x = y - 1/2
Add 1/2 to both sides to isolate the variable "y":
y = 8x + 1/2

So the rewritten equation in slope-intercept form is y = 8x + 1/2.

3) 4x + (2/3)y = 8
Subtract 4x from both sides:
(2/3)y = -4x + 8
Multiply both sides by 3/2 to solve for y:
y = -6x - 12

So the rewritten equation in slope-intercept form is y = -6x - 12.

Therefore, the rewritten equations you provided are correct.