Question

The slope of a line is 1/2. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers)

Answer 1

Answer: -2

Step-by-step explanation:

Given : The slope of a line is $\dfrac{1}{2}$.

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

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

Then,we have :-

$m\times\dfrac{1}{2}=-1\\\\\Rightarrow\ m=-2$

Hence, the slope of a line that is perpendicular to this line =-2

Answer 2

Perpendicular lines have negative reciprocal slopes. So if 1 slope has a slope of 1/2, then its perpendicular line has a slope of -2/1 or just -2