SOLUTION: How do I graph 2x+y=2?
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Question 698966
:
How do I graph 2x+y=2?
Found 2 solutions by
jim_thompson5910, mananth
:
Answer by
jim_thompson5910(35256)
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First solve for y
2x+y=2
2x+y-2x=2-2x
y = -2x + 2
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 -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1
So starting at
, go down 2 units
and to the right 1 unit 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
Answer by
mananth(16946)
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You can
put this solution on YOUR website!
2 x + 1 y = 2
y= -2 x + 2
Assume values of x and plug in the equation to get values of y.
Plot the points
x 0 1 2 -2
y= 2 0 -2 6
(x,y) ( 0 , 2 ),( 1 , 0 ),( 2 -2 ),(-2,6)