Answer :
[tex]3x - 2y = - 16[/tex]
Subtract sides -3x
[tex]3x - 3x - 2y = - 3x - 16[/tex]
Simplification
[tex] - 2y = - 3x - 16[/tex]
Negatives simplifies
[tex]2y = 3x + 16[/tex]
Divided sides by 2
[tex] \frac{2y}{2} = \frac{3x + 16}{2} \\ [/tex]
[tex] \frac{2}{2}y = \frac{3}{2}x + \frac{16}{2} \\ [/tex]
Simplification
[tex]y = \frac{3}{2}x + 8 \\ [/tex]
This is the slope-intercept form.
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And we're done...
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