The equation in slope intercept form is [tex]y = -\frac 23x+ 6[/tex]
The equation is given as:
[tex]2x + 3y = 18[/tex]
Subtract 2x from both sides of the equation
[tex]3y = 18 -2x[/tex]
Divide through by 3
[tex]y = 6 -\frac 23x[/tex]
Rewrite the equation as:
[tex]y = -\frac 23x+ 6[/tex]
Hence, the equation in slope intercept form is [tex]y = -\frac 23x+ 6[/tex]
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