What is the slope of the line that is perpendicular to the line whose equation is 3x + y = 4?

-3

-1/3

1/3

3

-1/3

Step-by-step explanation:

First step to determine what's the slope of a perpendicular is to know the slope of the line we're referring to.

What's the slope of 3x + y = 4?

The slope is given by the factor of the variable x ... so in this case the slope is 3, which is a positive slope, the line is going up.

To have another line crossing that one with a 90 degrees angle, it would have to be with a negative slope.

The slope angle would also to be inverted ... so from 3 would go to 1/3.

In a shortcut, to find a perpendicular slope to m (the original slope), you do - 1/m.

So the slope of the perpendicular would be - 1/3.