We want to write the equation in the form
y = mx + b.
We need to solve for y.
4x + 2y = -6
Subtract 4x from both sides.
4x - 4x + 2y = -4x - 6
2y = -4x - 6
Divide both sides by 2.
2y/2 = (-4x - 6)/2
y = (-4x - 6)/2
y = -2x - 3
Done.
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