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what equation is perpendicular to y-x=4

 Jul 28, 2015

Best Answer 

 #3
avatar+33614 
+10

If you write this equation in the form y = x + 4, then you can see that its slope is 1 (the coefficient of the x term).  Any line perpendicular to this will have a slope of -1  (= the negative inverse of the slope of the given line).  

 

However, there will be an infinite number of lines that are perpendicular to the given line, so, a general equation for the perpendicular line is y = -x + c where c is a constant.  You need more information (such as a point through which you know the perpendicular line goes) before you can specify c.

.

 Jul 29, 2015
 #1
avatar+109 
+6

y+x=-4

 

Because perpendicular is the opposite of the originial problem.

Use the method I came up with called "OpiFlip"

Which means opposite before and flip the last.

 Jul 28, 2015
 #2
avatar
0

x-y=-4

multiplied by -

 Jul 28, 2015
 #3
avatar+33614 
+10
Best Answer

If you write this equation in the form y = x + 4, then you can see that its slope is 1 (the coefficient of the x term).  Any line perpendicular to this will have a slope of -1  (= the negative inverse of the slope of the given line).  

 

However, there will be an infinite number of lines that are perpendicular to the given line, so, a general equation for the perpendicular line is y = -x + c where c is a constant.  You need more information (such as a point through which you know the perpendicular line goes) before you can specify c.

.

Alan Jul 29, 2015

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