Answer: y = -4/3x - 6
Step-by-step explanation: To write the equation in slope-intercept form, we need to solve for y.
Starting with the given equation: y - 2 = -4/3(x + 6)
First, distribute -4/3 to both terms within the parentheses: y - 2 = -4/3x - 8
Next, isolate y by adding 2 to both sides of the equation: y = -4/3x - 8 + 2
Simplifying further: y = -4/3x - 6
Therefore, the equation in slope-intercept form is y = -4/3x - 6.