SOLUTION: I'm having a problem with a homework y-intercept question that has me stumped. The equation is 3x - 2y + 8 = 0. Please help. Thank you so much for your help.

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Question 120186: I'm having a problem with a homework y-intercept question that has me stumped. The equation is 3x - 2y + 8 = 0. Please help.
Thank you so much for your help.

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x-2y%2B8=0 Start with the given equation



-2y%2B8=0-3xSubtract 3x from both sides


3x-2y=-8Subtract 8 from both sides

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


3x-2y=-8 Start with the given equation


3x-2y-3x=-8-3x Subtract 3x from both sides


-2y=-3x-8 Simplify


%28-2y%29%2F%28-2%29=%28-3x-8%29%2F%28-2%29 Divide both sides by -2 to isolate y


y+=+%28-3x%29%2F%28-2%29%2B%28-8%29%2F%28-2%29 Break up the fraction on the right hand side


y+=+%283%2F2%29x%2B4 Reduce and simplify


The original equation 3x-2y=-8 (standard form) is equivalent to y+=+%283%2F2%29x%2B4 (slope-intercept form)


The equation y+=+%283%2F2%29x%2B4 is in the form y=mx%2Bb where m=3%2F2 is the slope and b=4 is the y intercept.



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I'm having a problem with a homework y-intercept question that has me stumped. The equation is 3x - 2y + 8 = 0.
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To find the y-intercept let x=0; then solve for y:
3*0-2y + 8 = 0
-2y = -8
y = 4
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the y-intercept is 4
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Cheers,
Stan H.