Question

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

Answer 1

1/3

Explanation:

Solve 3x + y = 4 for y to find the slope of this line: y = -3x + 4. That slope is -3.

Any line perpendicular to 3x + y = 4 will have a slope which is the negative reciprocal of -3: +1/3.

Answer 2

1/3

Explanation:

3x + y = 4

y = -3x + 4

the perpendicular slope is the reciprocal of the original slope.

so the slope would be 1/3