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Answer:

y = 2/3x -7

Step-by-step explanation:

Original equation is 3x + 2y = 6

Let's put it in slope intercept form, y = mx + b

y = -3/2x + 6

Now we have to find the opposite reciprocal of the slope (m)

-3/2 -> -2/3(reciprocal) -> 2/3

y = 2/3x + 6

Finally use the two points to find the y-intercept (b)

-3 = 2/3(6) + b

-3 = 4 + b

-7 = b

Final equation =         y = 2/3x -7

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