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SOLUTION: Find an equation of the line containing the given points (1,3) and (3,4)
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-> SOLUTION: Find an equation of the line containing the given points (1,3) and (3,4)
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Question 214767
:
Find an equation of the line containing the given points
(1,3) and (3,4)
Answer by
jim_thompson5910(33401)
(
Show Source
):
You can
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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
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 3 to both sides.
Combine like terms.
So the equation that goes through the points
and
is