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Answer :

According to the given data we have the following equation:

6x+y=12

To rewrite the following equation in slope-intercept form we would have to make the following steps:

6x+y=12

Move 6x to the other side, by doing this it would change its sign

So,

y=-6x + 12

So, equation in slope-intercept form would be y=-6x + 12