Question 246357


{{{9x+4y=7}}} Start with the given equation.



{{{4y=7-9x}}} Subtract {{{9x}}} from both sides.



{{{4y=-9x+7}}} Rearrange the terms.



{{{y=(-9x+7)/(4)}}} Divide both sides by {{{4}}} to isolate y.



{{{y=((-9)/(4))x+(7)/(4)}}} Break up the fraction.



{{{y=-(9/4)x+7/4}}} Reduce.



So the equation {{{y=-(9/4)x+7/4}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-9/4}}} and the y-intercept is {{{b=7/4}}} note: the y-intercept is the point *[Tex \LARGE \left(0,\frac{7}{4}\right)]