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

Oct 29, 2015

Slope = $\frac{1}{3}$

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.

$6 x + 2 y = 4$

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

$2 y = 4 - 6 x$

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

$y = 4 - 3 x$

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 $= \frac{1}{3}$