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avatar+926 

Line m is represented by the equation y + 2 = 3/2(x + 4). The last one just to make sure of something here. 

 May 1, 2020
 #1
avatar+23575 
+1

The slope of the given line = m = 3/2    perpindicular  is  - 1/m  = -2/3

   which answer(s) have slope = -2/3 ????

 May 1, 2020
 #2
avatar+8958 
+1

When the equation is in this form ( where the coefficient of  y  is  1 ),

we can pick off the slope of the line as the coefficient of  x .

 

Here, the coefficient of  x  is  \(\frac32\)   so

 

slope of line  m   =   \(\frac32\)

 

And...

 

slope of line perpendicular to  m  =  the negative reciprocal of  \(\frac32\)

 

slope of line perpendicular to  m  =  \(-\frac23\)

 

The equations that have  \(-\frac23\)  (or something equaivalent to  \(-\frac23\) ) as the coefficient of  x  represent lines perpendicular to  m

 May 1, 2020

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