SOLUTION: What is the y-intercept of 4x+8y=12?

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Question 196826: What is the y-intercept of 4x+8y=12?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x%2B8y=12 Start with the given equation.


8y=12-4x Subtract 4x from both sides.


8y=-4x%2B12 Rearrange the terms.


y=%28-4x%2B12%29%2F%288%29 Divide both sides by 8 to isolate y.


y=%28%28-4%29%2F%288%29%29x%2B%2812%29%2F%288%29 Break up the fraction.


y=-%281%2F2%29x%2B3%2F2 Reduce.


So the equation y=-%281%2F2%29x%2B3%2F2 is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F2 and the y-intercept is b=3%2F2

note: the y-intercept is the point