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                                                                                  Equation 1: x - 3y = 9
                                                                                  Equation 2: y = -3x + 3

 What is the best description for the lines?

A)parallel

B)vertical

C)perpendicular

D)the same line

 Feb 13, 2018

Best Answer 

 #1
avatar+8780 
+2

x - 3y   =   9

                           Subtract  x  from both sides.

-3y   =   -x + 9

                           Divide both sides by  -3 .

y   =   x/3 - 3       The slope of this line is  1/3 .

 

y   =   -3x + 3       The slope of this line is  -3 .

 

Since the slopes of the two lines are negative reciprocals of each other, the lines are perpendicular.

 Feb 13, 2018
 #1
avatar+8780 
+2
Best Answer

x - 3y   =   9

                           Subtract  x  from both sides.

-3y   =   -x + 9

                           Divide both sides by  -3 .

y   =   x/3 - 3       The slope of this line is  1/3 .

 

y   =   -3x + 3       The slope of this line is  -3 .

 

Since the slopes of the two lines are negative reciprocals of each other, the lines are perpendicular.

hectictar Feb 13, 2018

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