Find the Slope 2x-3y=6

Problem

2*x−3*y=6

Solution

1. Identify the goal, which is to find the slope of the line by converting the given equation into slope-intercept form, y=m*x+b where m represents the slope.

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

−3*y=−2*x+6

3. Solve for y by dividing every term in the equation by −3

y=(−2)/(−3)*x+6/(−3)

4. Simplify the fractions to find the final slope-intercept form.

y=2/3*x−2

5. Extract the coefficient of x which is the slope m

m=2/3

Final Answer

slope=2/3

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