The effect of the sign of the slope in y = ax
A linear function is a function whose equation is of the form . We separate the discussion about it into two parts:
and
. In this post, we only discuss the graph of
where
. We discuss the effect of the sign of the slope in
.
If we let , the equation
becomes
or simply
.
Notice that if , then
. This means that the graph contains the point with coordinates
. Therefore,
passes through the origin.
Generalization 1: The graph passes through the origin.
We now examine the effect of the values of . There are three cases:
,
, and
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