Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10 what is the slope of a line that is perpendicular to a line with a s…

Question

10 what is the slope of a line that is perpendicular to a line with a slope of 2? 1/2 -1/2 -2 2 skip 9/10 complete

Explanation:

Step1: Recall slope - perpendicular rule

The product of the slopes of two perpendicular lines is - 1. Let the slope of the given line be $m_1 = 2$ and the slope of the perpendicular line be $m_2$. Then $m_1\times m_2=-1$.

Step2: Solve for $m_2$

We have $2\times m_2=-1$. So, $m_2 =-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$