Question 143535
For this problem the key is knowing what slope-intercept form is. 
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{{{y=mx+b}}}
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To get the equation {{{3x-4y=20}}} into slope-intercept form we just got to move some of the numbers around. 
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Our initial equation: {{{3x-4y=20}}}
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The whole idea is to try and get y by itself like it is in the slope-intercept form.
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To do so we will start by subtracting off the 3x from both sides:
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{{{-4y=-3x+20}}}
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Note: we want to put the 3x in front of the 20 because that's where x is located in the slope-intercept form. 
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Next we will divide by -4. 
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{{{y= -3x/-4+20/-4}}}
{{{y=(3/4)x-5}}}
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Note: Its easier to graph and it looks like the slope-intercept form when each number is individually divided by -4 rather then the whole right side of the equation. You just have to remember to divide ever number by -4.
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{{{3x-4y=20}}} in slope-intercept form is:
{{{y=(3/4)x-5}}}