Find the Slope 3x-4y=12

Problem

3*x−4*y=12

Solution

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

2. Isolate the term containing y by subtracting 3*x from both sides of the equation.

−4*y=−3*x+12

3. Solve for y by dividing every term in the equation by −4

y=(−3)/(−4)*x+12/(−4)

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

y=3/4*x−3

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

m=3/4

Final Answer

m=3/4

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