Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y-3x=12
To put the equation of a line, 3y-3x=12, into slope-intercept form, we need to rearrange it so that it is in the form y = mx + b, where m is the slope and b is the y-intercept.
To start, let's isolate the variable, y, on one side of the equation:
3y - 3x = 12
First, let's add 3x to both sides of the equation to isolate the term containing y:
3y = 3x + 12
Now, let's divide both sides of the equation by 3 to solve for y:
y = (3x + 12)/3
Simplifying the fraction on the right side:
y = (3/3)x + 12/3
y = x + 4
Therefore, the equation of the line, 3y - 3x = 12, in slope-intercept form is y = x + 4.