You can
put this solution on YOUR website!The statement
tells us that if
, then
. So the point (4,0) is on the line. Also, the statement
tells us that if
, then
. So the point (6,6) is also on the line.
So let's find the equation of the line that goes through the two points (4,0) and (6,6)
To do that, we first need to find the slope of the line through the points
)
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
Distribute
Multiply
Add 0 to both sides.
Combine like terms.
Simplify
So the equation that goes through the points
and
is
In function notation, the answer is
Notice how
and
. So this also verifies our answer.
Also, notice how the graph of
goes through the points
and
. So this visually verifies our answer.
Graph of
through the points
and
(