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

GAMEMASTERX40 May 1, 2020

#1**+1 **

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

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

ElectricPavlov May 1, 2020

#2**+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

hectictar May 1, 2020