Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x+6y=-30
To put the equation into slope-intercept form, we want to isolate the y variable on one side of the equation.
To do this, we can start by moving the 3x term to the other side of the equation by subtracting 3x from both sides:
6y = -3x - 30
Next, we can divide both sides of the equation by 6 to solve for y:
y = (-3/6)x - 30/6
Simplifying the fractions:
y = (-1/2)x - 5