SOLUTION: what is the slope intercept form of 6x+4y=16

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Question 540512: what is the slope intercept form of 6x+4y=16
Answer by jim_thompson5910(35256) About Me  (Show Source):
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6x%2B4y=16 Start with the given equation.


4y=16-6x Subtract 6x from both sides.


4y=-6x%2B16 Rearrange the terms.


y=%28-6x%2B16%29%2F%284%29 Divide both sides by 4 to isolate y.


y=%28%28-6%29%2F%284%29%29x%2B%2816%29%2F%284%29 Break up the fraction.


y=-%283%2F2%29x%2B4 Reduce.


So the equation y=-%283%2F2%29x%2B4 is now in slope intercept form y=mx%2Bb where the slope is m=-3%2F2 and the y-intercept is b=4 note: the y-intercept is the point


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