SOLUTION: I need to change these problems to slope intercept form but i dont know how. 2x-3y=9 x-4y=20 6x+9y=27 7x-3y=12

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Question 278188: I need to change these problems to slope intercept form but i dont know how.
2x-3y=9
x-4y=20
6x+9y=27
7x-3y=12
Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
slope intercept form is y=mx+b
---------------------
2x-3y=9
-3y=-2x+9
y=2/3x-3
------------
6x+9y=27
9y=-6x+27
y=-6/9+3
y=-2/3x+3
---------------
x-4y=20
-4y=-x+20
y=1/4x-5
-------------
7x-3y=12
-3y=-7x+12
y=7/3x-4

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started.

# 1

2x-3y=9 Start with the given equation.


-3y=9-2x Subtract 2x from both sides.


-3y=-2x%2B9 Rearrange the terms.


y=%28-2x%2B9%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=%28%28-2%29%2F%28-3%29%29x%2B%289%29%2F%28-3%29 Break up the fraction.


y=%282%2F3%29x-3 Reduce.


So the equation y=%282%2F3%29x-3 is now in slope intercept form y=mx%2Bb where the slope is m=2%2F3 and the y-intercept is b=-3 note: the y-intercept is the point


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# 2


x-4y=20 Start with the given equation.


-4y=20-x Subtract x from both sides.


-4y=-x%2B20 Rearrange the terms.


y=%28-x%2B20%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=%28%28-1%29%2F%28-4%29%29x%2B%2820%29%2F%28-4%29 Break up the fraction.


y=%281%2F4%29x-5 Reduce.


So the equation y=%281%2F4%29x-5 is now in slope intercept form y=mx%2Bb where the slope is m=1%2F4 and the y-intercept is b=-5 note: the y-intercept is the point