Answer: [tex]y = -\frac{2}{3}x+2[/tex]
Check out the diagram below.
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Work Shown:
[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]
The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.
The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.
