Final answer:
The slope of y=-4x-3y is -4/3.
Step-by-step explanation:
The equation given, y = -4x - 3y, is not in the typical slope-intercept form, which is y = mx + b. To find the slope, we need to rearrange the equation to isolate y on one side. Here's how:
Add 3y to both sides of the equation: 4x + 3y = 0
Subtract 4x from both sides of the equation: 3y = -4x
Divide both sides by 3: y = -4/3x
So, the slope of y = -4x - 3y is -4/3.