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Isolate the y variable by subtracting 12x in both sides:

-4y = -12x - 8

To solve for y divide -4 in both sides

y = 3x + 2

Our answer would be y = 3x + 2

Answer:

y = 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 12x - 4y = - 8 into this form

Subtract 12x from both sides

- 4y = - 12x - 8 ( divide all terms by - 4 )

y = 3x + 2 ← in slope- intercept form