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put this solution on YOUR website!Since f(0)=-1, f(3)=-10 this means we have the two points (0,-1) and (3,-10)
First let's find the slope of the line through the points
)
and
)
Note:
)
is the first point
. So this means that
and
.
Also,
)
is the second point
. So this means that
and
.
Start with the slope formula.
Plug in
,
,
, and
Subtract
from
to get
Subtract
from
to get
Reduce
So the slope of the line that goes through the points
and
is
Now let's use the point slope formula:
Start with the point slope formula
Plug in
,
, and
Rewrite
as
Distribute
Multiply
Subtract 1 from both sides.
Combine like terms.
Simplify
So the equation that goes through the points
and
is
Notice how the graph of
goes through the points
and
. So this visually verifies our answer.
Graph of
through the points
and
(