Question

What is the slope of a line that is perpendicular to the line shown

Answer 1

The answer is A. 3.
Since the slope shown is -1/3, the perpendicular slope is a positive 3.

Think of it this way. When you are given a slope and asked to give the perpendicular slope, the easiest way to find it is to use the reciprocal. (like how the reciprocal of -1/3 is 3/1, or just 3)

Answer 2

Answer: a. 3

Explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

`(d-b)/(c-a)`

Then, the slope of a line passing through two points (0,3) and (3,2) is given by :-

`(2-3)/(3-0)=(-1)/(3)`

Let m be the slope of the line perpendicular to the given line .

We know that the product of two perpendicular lines is -1.

Then , we have

`(-1)/(3)* m=-1\\\\\Rightarrow\ m=-1*-3=3`

Hence, the slope of the line perpendicular to the given line = 3