Find the Slope 4x-5y=20

Problem

4*x−5*y=20

Solution

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

2. Isolate the term containing y by subtracting 4*x from both sides of the equation.

−5*y=−4*x+20

3. Solve for y by dividing every term in the equation by −5

y=(−4)/(−5)*x+20/(−5)

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

y=4/5*x−4

5. Determine the slope m from the coefficient of x

m=4/5

Final Answer

m=4/5

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