The standard form:
[tex]Ax+By=C[/tex]
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[tex]y-3=\dfrac{2}{3}(x+5)[/tex] multiply both sides by 3
[tex]3y-9=2(x+5)[/tex] use distributive property
[tex]3y-9=2x+10[/tex] add 9 to both sides
[tex]3y=2x+19[/tex] subtract 2x from both sides
[tex]-2x+3y=19[/tex] change the signs
[tex]\boxed{2x-3y=-19}[/tex]
