Question 169804


{{{5x-4y=8}}} Start with the given equation.



{{{-4y=8-5x}}} Subtract {{{5x}}} from both sides.



{{{-4y=-5x+8}}} Rearrange the terms.



{{{y=(-5x+8)/(-4)}}} Divide both sides by {{{-4}}} to isolate y.



{{{y=((-5)/(-4))x+(8)/(-4)}}} Break up the fraction.



{{{y=(5/4)x-2}}} Reduce.



So the equation {{{y=(5/4)x-2}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=5/4}}} and the y-intercept is {{{b=-2}}} note: the y-intercept is the point *[Tex \LARGE \left(0,-2\right)]