Question 208140


{{{x+7y=14}}} Start with the given equation.



{{{7y=14-x}}} Subtract {{{x}}} from both sides.



{{{7y=-x+14}}} Rearrange the terms.



{{{y=(-x+14)/(7)}}} Divide both sides by {{{7}}} to isolate y.



{{{y=((-1)/(7))x+(14)/(7)}}} Break up the fraction.



{{{y=-(1/7)x+2}}} Reduce.



So the equation {{{y=-(1/7)x+2}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-1/7}}} and the y-intercept is {{{b=2}}} note: the y-intercept is the point *[Tex \LARGE \left(0,2\right)]