SOLUTION: graph the following equation; x+2y=4

Question 147782: graph the following equation; x+2y=4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Subtract from both sides.

Divide both sides by to isolate .

Simplify.

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is

.Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is -1 and the run is 2. This means that to go from point to point, we can go down 1 and over 2

So starting at

, go down 1 unit

and to the right 2 units to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points

and

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