Graph 2x+y=4

Problem

2*x+y=4

Solution

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

2. Rewrite the equation in slope-intercept form, y=m*x+b by subtracting 2*x from both sides.

y=−2*x+4

3. Determine the y-intercept by looking at the constant term b The y-intercept is (0,4)

4. Determine the slope m which is −2 This means for every 1 unit moved to the right, move 2 units down.

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

2*x+0=4

x=2

6. Plot the points (0,4) and (2,0) on a coordinate plane and draw a straight line through them to complete the graph.

Final Answer

y=−2*x+4

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