Question

The slope of a line is 1/3 . What is the slope of a line perpendicular to this line?

Answer 1

Answer:

perpendicular is the opposite, so -3

Answer 2

Answer:

FIRST OPTION: -3

Step-by-step explanation:

By definition, if two lines are perpendicular to each other, then their slopes are negative reciprocals.

In this case you can observe that that the slope of the line is $\frac{1}{3}$ and you know that the other line is perpendicular to this line. Therefore, their slopes are negative reciprocals.

This means that:

If $slope_1=\frac{1}{3}$ ,then  $slope_2=-3$

This matches with the first option.