Question

Please help quickly! Due in 2 hours! 20pts

A line which is perpendicular to this line would have a slope of ___.

Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.

Answer 1

1/2

Explanation:

A line that is perpendicular to another has an opposite reciprocal slope. In this case, we can see that the slope of the given line is -2, so the perpendicular line would have a slope of 1/2.

Answer 2

1/2

Explanation:

The slope of a line perpendicular to any given line is the negative reciprocal of the given line's slope:

`m_\perp = (1)/(m)`

In this problem, the slope of the given line is
`(-2)/(1)` (rise over run).

So, to find the slope of a line that is perpendicular to it, we simply flip the given line's slope and change its sign.

`m_\perp = (1)/(2)`

So, a line which is perpendicular to the given line would have a slope of 1/2.