SOLUTION: find an equation of the line containing (-3,-6) and perpindicular to the line 4x + 3y = 5

Question 198032: find an equation of the line containing (-3,-6) and perpindicular to the line 4x + 3y = 5
Answer by solver91311(24713) (Show Source): 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

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