Graph 4x-2y=8

Problem

4*x−2*y=8

Solution

1. Identify the equation as a linear equation in standard form A*x+B*y=C To graph it, we can find the intercepts or convert it to slope-intercept form y=m*x+b

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

4*x−2*(0)=8

4*x=8

x=2

The x-intercept is (2,0)

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

4*(0)−2*y=8

−2*y=8

y=−4

The y-intercept is (0,−4)

4. Solve for y to find the slope-intercept form.

−2*y=−4*x+8

y=2*x−4

The slope is m=2 and the y-intercept is b=−4

5. Graph the line by plotting the points (2,0) and (0,−4) on a coordinate plane and drawing a straight line through them.

Final Answer

y=2*x−4

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