Find the slope of a line parallel to the line with equation 3x – 2y = 12.

Question

anonymous · Answer

3x - 2y = 12
-2y = 12 - 3x
2y = 3x - 12
y = 2x/3 - 12

Parallel lines:
m1 = m2
that means the slope of the parallel line is equal to this one. which is 2/3

anonymous · Answer

$$3x - 2y = 12$$

$$2y = 3x - 12$$

$$y = \frac{ 3 }{ 2 }x - \frac{ 12 }{ 2 }$$

on comparing it with $$y = mx + c$$
 
we get $$m = \frac{ 3 }{ 2 }$$

when the lines are parallel the slopes are equal

therefore m = 3/2

moonlitfate · Answer

First put the equation in y = mx + b form; M is equal to the slope of the line. 

$$y = \frac{ -3x }{ 2 } + 4$$ The slope is -3x/2.  A line that's parallel has the same slope.

moonlitfate · Answer

*3/2

anonymous · Answer

@MoonlitFate  dont you think you are wrong ?
b = 6 i guess
and again you are wrong in sign conventions ;)

anonymous · Answer

okay thanks so much i understand can you help me with this one

anonymous · Answer

Find the slope of a line perpendicular to the line with equation 4x + 2y = -8

anonymous · Answer

ya sure but where is my medal :D

moonlitfate · Answer

@miteshchvm Oh, you're right.  Haha, guess midnight is a bit too late to be doing math.  Careless mistakes. :p

anonymous · Answer

$$4x +2y = -8$$

$$2y = -4x - 8$$

$$y = -2x -4$$

on comparing we get m = -2

here the slopes are perpendicular
hence let the slope of the other line be 'n'
condition of perpendicular lines slopes is
$$m \times n = \left( -1 \right)$$

hence

$$-2 \times n = -1$$

$$n = \left( \frac{ -1 }{ -2 } \right)$$

hence

$$n = \left( \frac{ 1 }{ 2 } \right)$$

anonymous · Answer

thanks