Question 548732


{{{3x+7y=4}}} Start with the given equation.



{{{7y=4-3x}}} Subtract {{{3x}}} from both sides.



{{{7y=-3x+4}}} Rearrange the terms.



{{{y=(-3x+4)/(7)}}} Divide both sides by {{{7}}} to isolate y.



{{{y=((-3)/(7))x+(4)/(7)}}} Break up the fraction.



{{{y=-(3/7)x+4/7}}} Reduce.



So the equation {{{y=-(3/7)x+4/7}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-3/7}}} and the y-intercept is {{{b=4/7}}} note: the y-intercept is the point *[Tex \LARGE \left(0,\frac{4}{7}\right)]



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