Graph 4x-5y=20

Problem

4*x−5*y=20

Solution

1. Find the x-intercept by setting y=0 in the equation.

4*x−5*(0)=20

4*x=20

x=5

The x-intercept is (5,0)

2. Find the y-intercept by setting x=0 in the equation.

4*(0)−5*y=20

−5*y=20

y=−4

The y-intercept is (0,−4)

3. Solve for y to find the slope-intercept form y=m*x+b

−5*y=−4*x+20

y=4/5*x−4

4. Identify the slope and the y-intercept from the equation.
   The slope m is 4/5 and the y-intercept b is −4

5. Graph the line by plotting the points (5,0) and (0,−4) and drawing a straight line through them.

Final Answer

y=4/5*x−4

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