Questions: So if two lines are perpendicular and one of the lines has a slope of -2 / 1, the other would have a slope of 1 / 2 -1 / 2 -2 / 1

Transcript text: Classwork for 3rd Hour Geom- Edpuzzle edpuzzle.com/assignments/67866499dff2c353300b School Bookmarks All Bookmarks edpuzzle MULTIPLE-CHOICE QUESTION So if two lines are perpendicular and one of the lines has a slope of $-2 / 1$, the other would have a slope of $\qquad$ $1 / 2$ $-1 / 2$ $-2 / 1$ Rewatch Next question Sign out Jan 15 10:52 US

Solution

Determine the slope of a line perpendicular to a line with a slope of $-\frac{2}{1}$.

Understand the relationship between slopes of perpendicular lines.

If two lines are perpendicular, the product of their slopes is $-1$. That is, if the slope of the first line is $m_1$ and the slope of the second line is $m_2$, then $m_1 \cdot m_2 = -1$.

Calculate the slope of the perpendicular line.

Given the slope of the first line $m_1 = -\frac{2}{1}$, the slope of the perpendicular line $m_2$ satisfies:
\[ m_1 \cdot m_2 = -1 \implies -\frac{2}{1} \cdot m_2 = -1. \]
Solving for $m_2$:
\[ m_2 = \frac{1}{\frac{2}{1}} = \frac{1}{2}. \]

The slope of the perpendicular line is $\boxed{\frac{1}{2}}$.

The slope of the perpendicular line is $\boxed{\frac{1}{2}}$.
The answer is $1 / 2$.

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