SOLUTION: Graph using the intercept method: 2x + y = 4. I am a bit confused on this one, any help would be greatly appreciated. Thanks

Question 68572: Graph using the intercept method: 2x + y = 4.
I am a bit confused on this one, any help would be greatly appreciated. Thanks
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The key to graphing linear equations such as you have here is to remember that you need to graph only two points to get your line.
These two points can easily be found by first setting one of the variables in the equation to zero and solving for the other one.
Then, do the same for the othe variable.
2x + y = 4 First, set x = 0 and solve for y. This will be the y-intercept.
2(0) + y = 4 Simplify.
0 + y = 4
y = 4 So your first point will be at x=0 and y=4 or (0, 4)
Now repeat this process with y=0 This will be the x-intercept.
2x + y = 4
2x + 0 = 4 Simplify.
2x = 4 Divide both sides by 2.
x = 2 Your second point will be at x = 2 and y = 0 or (2, 0)
When you plot the two points on your coordinate graph paper with the x- and y-axes drawn, and you connect the points with a straight line, you will see the following graph:

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