Graph 2x+4y=8

Problem

2*x+4*y=8

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

2*x+4*(0)=8

2*x=8

x=4

The x-intercept is (4,0)
3. Find the y-intercept by setting x=0 and solving for y

2*(0)+4*y=8

4*y=8

y=2

The y-intercept is (0,2)
4. Convert to slope-intercept form y=m*x+b to find the slope.

4*y=−2*x+8

y=−2/4*x+8/4

y=−1/2*x+2

5. Plot the points (4,0) and (0,2) on a coordinate plane and draw a straight line passing through them.

Final Answer

y=−1/2*x+2

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