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SOLUTION: find an equation of the line containing (-3,-6) and perpindicular to the line 4x + 3y = 5
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Question 198032
:
find an equation of the line containing (-3,-6) and perpindicular to the line 4x + 3y = 5
Answer by
solver91311(20879)
(
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):
You can
put this solution on YOUR website!
Step 1. Put your equation into slope-intercept form by solving for
in terms of
, i.e. make it look like:
Step 2. Determine the slope of the given line by inspection of the coefficient on
in the result from step 1.
Step 3. Use:
to determine the slope of the desired line, i.e. find the negative reciprocal of the slope determined in step 2.
Step 4. Create the equation of the desired line by use of the point-slope form of the equation of a line:
where
is the slope calculated in step 3, and
is the given point.
Step 5. Arrange the equation into the form required by your assignment or instructor's instructions. However, since the question states "find
an
equation..." the result of step 4 is just as valid as any other form of the equation.
John