Question 133689
# 1




{{{3x+4y=-2}}} Start with the given equation



{{{4y=-2-3x}}}  Subtract {{{3 x}}} from both sides



{{{4y=-3x-2}}} Rearrange the equation



{{{y=(-3x-2)/(4)}}} Divide both sides by {{{4}}}



{{{y=(-3/4)x+(-2)/(4)}}} Break up the fraction



{{{y=(-3/4)x-1/2}}} Reduce




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# 2



{{{y=mx+b}}} Start with the given equation




{{{y-b=mx}}} Subtract b from both sides




{{{(y-b)/x=m}}} Divide both sides by x to isolate m



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Answer:

So our answer is {{{m=(y-b)/x}}}