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

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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
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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
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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