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SOLUTION: graphing linear inequalities y=1/3x+5
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Question 280274
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graphing linear inequalities y=1/3x+5
Answer by
jim_thompson5910(33401)
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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 3. This means that to go from point to point, we can go up 1 and over 3
So starting at
, go up 1 unit
and to the right 3 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