Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y−3x= 15
To put the equation 3y - 3x = 15 into slope-intercept form, we need to isolate y on one side of the equation.
First, let's subtract 3x from both sides of the equation:
3y - 3x - 3x = 15 - 3x
This simplifies to:
3y = 15 - 3x
Next, divide both sides of the equation by 3 to isolate y:
3y/3 = (15 - 3x)/3
This further simplifies to:
y = (15 - 3x)/3
Now, simplify the expression on the right side:
y = 15/3 - (3x/3)
Simplifying the fractions:
y = 5 - x
Therefore, the equation 3y - 3x = 15 in slope-intercept form is y = 5 - x.