Write in Slope-Intercept Form 2x+3y=6

Problem

2*x+3*y=6

Solution

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

2. Subtract 2*x from both sides of the equation to begin isolating the y term.

3*y=−2*x+6

3. Divide every term by 3 to solve for y

y=(−2*x+6)/3

4. Simplify the expression by dividing each term in the numerator by the denominator.

y=−2/3*x+2

Final Answer

2*x+3*y=6⇒y=−2/3*x+2

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