Graph 5x-4y=20

Problem

5*x−4*y=20

Solution

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

5*x−4*(0)=20

5*x=20

x=4

The x-intercept is (4,0)

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

5*(0)−4*y=20

−4*y=20

y=−5

The y-intercept is (0,−5)

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

−4*y=−5*x+20

y=5/4*x−5

4. Identify the slope and use it to find another point.
   The slope m is 5/4 meaning for every 4 units moved to the right, move 5 units up. Starting from (0,−5) moving right 4 and up 5 leads back to (4,0)

5. Graph the line by plotting the intercepts (4,0) and (0,−5) on a coordinate plane and drawing a straight line through them.

Final Answer

y=5/4*x−5

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