Final answer:
The slope of the line represented by the equation 1/5y = -4 is 0, and the y-intercept is -20.
Step-by-step explanation:
To determine the slope and the y-intercept of a line represented by the equation 1/5y = -4, we need to manipulate the equation to the slope-intercept form, which is y = a + bx. In this form, a represents the y-intercept and b represents the slope. Firstly, let's isolate y by multiplying both sides of the equation by 5:
5 * (1/5)y = 5 * (-4)
y = -20
Now the equation is in the form y = a, where a is -20, which means the slope is 0 since there is no x-term in the equation. So, the slope is 0 and the y-intercept is -20.