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

Step-by-step explanation:

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

$\dfrac{d-b}{c-a}$

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

$\dfrac{2-3}{3-0}=\dfrac{-1}{3}$

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

$\dfrac{-1}{3}\times m=-1\\\\\Rightarrow\ m=-1\times-3=3$

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