Final answer:
The equation in slope-intercept form is y = -4/5x - 3.
Step-by-step explanation:
To put the equation into slope-intercept form, we need to solve for y.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given the equation 8x + 10y = -30, we can start by isolating y on one side of the equation.
10y = -8x - 30
Divide both sides of the equation by 10 to solve for y:
y = (-8/10)x - 3
Simplifying the fraction, we get y = -4/5x - 3.
This is the equation in slope-intercept form, with a slope of -4/5 and a y-intercept of -3.