Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x+6y=-18
To put the equation 3x + 6y = -18 into slope-intercept form, we want to isolate the y variable on one side of the equation. To do this, let's first move the 3x term to the right side of the equation:
6y = -18 - 3x
Next, we simplify the right side of the equation:
6y = -3x - 18
Now we can divide both sides of the equation by 6 to isolate y:
y = (-3/6)x - 18/6
Simplifying further:
y = (-1/2)x - 3
The equation is now in slope-intercept form, y = mx + b, with a slope of -1/2 and a y-intercept of -3.