Question

What is the slope of the line that is perpendicular to $y-2x=1$?

• A. $2$
• B. $-2$
• C. $\frac{1}{2}$
• D. $-\frac{1}{2}$
• E. $1$

Answer 1

The correct option is D $-\frac{1}{2}$

Let the slope of the line $y-2x=1$ be $m$, which implies $m=2$
Let the slope of line perpendicular to given line is $n$, we have $nm=-1$.
So, we get $n=-\frac{1}{m}=-\frac{1}{2}$.