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SOLUTION: Write the equation of a line in slope-intercept form passing through (2, 7) and (-2, 9).
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-> SOLUTION: Write the equation of a line in slope-intercept form passing through (2, 7) and (-2, 9).
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Question 506997
:
Write the equation of a line in slope-intercept form passing through (2, 7) and (-2, 9).
Answer by
jim_thompson5910(33401)
(
Show Source
):
You can
put this solution on YOUR website!
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
Distribute
Multiply
Add 7 to both sides.
Combine like terms.
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
Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at
jim_thompson5910@hotmail.com
or you can visit my website here:
http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim