The equation of a line in the slope intercept form is expressed as
y = mx + c
The given equation is expressed as
6x - 2y = - 8
Adding 2y to both sides of the equation, we have
6x - 2y + 2y = - 8 + 2y
6x = - 8 + 2y
adding 8 to both sides of the equation, we have
6x + 8 = - 8 + 8 + 2y
2y = 6x + 8
Dividing both sides of the equation by 2, we have
y = 3x + 4
The equation in slope intercept form is
y = 3x + 4