How do you find the slope perpendicular to #6x + 2y = 4#?

1 Answer
Oct 29, 2015

Answer:

Slope = #1/3#

Explanation:

In order to find the perpendicular slope, first find the slope of the line you have. To do this, rearrange the equation so that the y is on its own and make sure that y has nothing multiplied to it.

#6x+2y=4#

Move 6 to the other side. (Subtract 6 from both sides).

#2y=4-6x#

Divide everything by two (so that there's no number multiplied to y).

#y=4-3x#

From the equation, determine that the slope of original line #= -3#

The perpendicular slope is the negative reciprocal. You can also think of it as a slope and its perpendicular slope will always multiply to equal #-1#.

So, in this case, the slope #=1/3#