Question 215097


{{{4x+5y=20}}} Start with the given equation.



{{{5y=20-4x}}} Subtract {{{4x}}} from both sides.



{{{5y=-4x+20}}} Rearrange the terms.



{{{y=(-4x+20)/(5)}}} Divide both sides by {{{5}}} to isolate y.



{{{y=((-4)/(5))x+(20)/(5)}}} Break up the fraction.



{{{y=-(4/5)x+4}}} Reduce.



So the equation {{{y=-(4/5)x+4}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-4/5}}} and the y-intercept is {{{b=4}}} note: the y-intercept is the point *[Tex \LARGE \left(0,4\right)]