Graph x+5y=10

Problem

x+5*y=10

Solution

1. Identify the equation as a linear equation in two variables, which represents a straight line.

2. Find the x-intercept by setting y=0 and solving for x

x+5*(0)=10

x=10

3. Find the y-intercept by setting x=0 and solving for y

0+5*y=10

y=2

4. Rewrite in slope-intercept form y=m*x+b to identify the slope.

5*y=−x+10

y=−1/5*x+2

5. Plot the points (10,0) and (0,2) on a coordinate plane and draw a straight line through them. The slope is −1/5 meaning the line goes down 1 unit for every 5 units it moves to the right.

Final Answer

y=−1/5*x+2

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