<PRE><B>Question 82397</B>
First solve for y:

{{{-5x+3y=9}}}


{{{3y=9+5x}}} Add 5x to both sides


{{{y=3+(5/3)x}}} Divide both sides by 3


So we have


{{{y=(5/3)x+3}}}


So it is now in {{{y=mx+b}}} form where m is the slope and b is the y intercept. Since {{{m=5/3}}} and {{{b=3}}} the slope is {{{5/3}}} y-intercept is (0,3) (b is always the y coordinate of the y-intercept).
Here is the graph of {{{y=(5/3)x+3}}}


{{{ graph( 300, 200, -5, 5, -5, 5,(5/3)x+3) }}} 

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