SOLUTION: identify the slope, m, and the y-intercept, b, for each line 3/4x+2y+=3

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Question 152951: identify the slope, m, and the y-intercept, b, for each line
3/4x+2y+=3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2F4%29x%2B2y=3 Start with the given equation.


4%28%283%2Fcross%284%29%29x%2B2y%29=4%283%29 Multiply both sides by 4 to clear the fractions.


3x%2B8y=12 Distribute and multiply.


8y=12-3x Subtract 3x from both sides.


8y=-3x%2B12 Rearrange the terms.


y=%28-3x%2B12%29%2F%288%29 Divide both sides by 8 to isolate y.


y=%28%28-3%29%2F%288%29%29x%2B%2812%29%2F%288%29 Break up the fraction.


y=-%283%2F8%29x%2B3%2F2 Reduce.


So the equation y=-%283%2F8%29x%2B3%2F2 is now in slope intercept form y=mx%2Bb where the slope is m=-3%2F8 and the y-intercept is b=3%2F2 note: the y-intercept is the point