Answer: y = -2x - 8/3.
Explanation:
To rewrite 12x + 6y = -16 in slope-intercept form, we need to isolate y on one side of the equation. We can do this by following these steps:
Subtract 12x from both sides of the equation: 12x + 6y = -16 -> 6y = -16 - 12x
Divide both sides by 6 to get y alone: 6y = -16 - 12x -> y = (-16 - 12x) / 6
Simplify the expression by dividing the numerator and denominator by the common factor of 2: y = (-16 - 12x) / 6 -> y = (-8 - 6x) / 3
Rewrite the expression in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept: y = (-8 - 6x) / 3 -> y = -2x - 8/3
Therefore, the equation 12x + 6y = -16 in slope-intercept form is y = -2x - 8/3.