Put the following equation of a line into slope-intercept form, simplifying all fractions.
9y-3x=-54
To put the equation 9y - 3x = -54 into slope-intercept form, we need to solve for y.
First, let's move the term -3x to the other side of the equation by adding 3x to both sides:
9y - 3x + 3x = -54 + 3x
This simplifies to:
9y = 3x - 54
Now, let's divide both sides of the equation by 9 to isolate y:
(9y)/9 = (3x - 54)/9
Simplifying:
y = (1/3)x - 6