To put the equation into slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Starting with 3y − 3x = 12, we'll first add 3x to both sides to move the term containing x to the other side of the equation:
3y = 3x + 12
Next, we can divide both sides of the equation by 3 to isolate y:
y = (3x + 12)/3
Simplifying the fraction by dividing both terms by 3, we get:
y = x + 4
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y−3x= 12
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