Question 314687: find the equation of the line through (1,5) perpendicular to 4x+3y=15. write answer in slope intercept form
Answer by solver91311(24713)   (Show Source):
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Step 1: Determine the slope of the given line. If the given equation is in Standard Form, i.e.  , take the additive inverse of the coefficient on  divided by the coefficient on  . If the given equation is in slope-intercept form, i.e.  , then just take the coefficient on . If the given equation is in some other form, put it into slope-intercept form and use the coefficient on .
Step 2: Determine the slope of the desired line. If you want a parallel line, use the slope of the given line, because:
If you want a perpendicular line, use the negative reciprocal of the slope of the given line, because:
Step 3: Use the point-slope form of the equation of a line:
 )
where ) are the coordinates of the given point and  is the slope derived in step 2.
Step 4: If you are not asked to put the equation in any particular form, you are done.
If you are asked to put the equation into slope intercept form, do the required algebra to rearrange the results of Step 3 to the form:
If you are asked to put the equation into Standard Form, do the required algebra to rearrange the results of Step 3 to the form:
Note: Some textbooks require  ,  , and 
John
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