Write in Slope-Intercept Form x-3y=6

Problem

x−3*y=6

Solution

1. Identify the goal, which is to rewrite the equation in slope-intercept form, y=m*x+b

2. Isolate the term containing y by subtracting x from both sides of the equation.

−3*y=−x+6

3. Divide every term by −3 to solve for y

y=(−x)/(−3)+6/(−3)

4. Simplify the fractions to find the final slope and y-intercept.

y=1/3*x−2

Final Answer

x−3*y=6⇒y=1/3*x−2

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