Question 238644


{{{5x-7y=35}}} Start with the given equation.



{{{-7y=35-5x}}} Subtract {{{5x}}} from both sides.



{{{-7y=-5x+35}}} Rearrange the terms.



{{{y=(-5x+35)/(-7)}}} Divide both sides by {{{-7}}} to isolate y.



{{{y=((-5)/(-7))x+(35)/(-7)}}} Break up the fraction.



{{{y=(5/7)x-5}}} Reduce.



So the equation {{{y=(5/7)x-5}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=5/7}}} and the y-intercept is {{{b=-5}}} note: the y-intercept is the point *[Tex \LARGE \left(0,-5\right)]