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To get the result we have to transform given formula into y=ax+b form. Lets do this 5x+3y=6 /-5x (subtract 5x both sides) 3y=-5x+6 /:3 (divide both sides by 3) y=[tex] -\frac{5}{3} x+6[/tex] In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=[tex] -\frac{5}{3} [/tex]and its the result
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