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Start with the given equation.
Subtract
from both sides.
Rearrange the terms.
Divide both sides by
to isolate y.
Break up the fraction.
Reduce.
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 4. This means that to go from point to point, we can go up 1 and over 4
So starting at
, go up 1 unit
and to the right 4 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
(