Graph 4x+y=8

Problem

4*x+y=8

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 4*x from both sides.

y=−4*x+8

3. Determine the y-intercept by looking at the constant term b

y-intercept=(0,8)

4. Determine the x-intercept by setting y=0 and solving for x

4*x+0=8

x=2

x-intercept=(2,0)

5. Plot the points (0,8) and (2,0) on a coordinate plane and draw a straight line passing through both points.

Final Answer

y=−4*x+8

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