Final answer:
The slope of the line is -5/4.
Step-by-step explanation:
The given equation is 5x+4y=-3. To find the slope of the line, we need to rearrange the equation in the form y=mx+b, where m is the slope. Let's isolate the y-term:
4y = -5x - 3
y = (-5/4)x - 3/4
So, the slope of the line is -5/4.