Question

A line is perpendicular to y=5x+6

What is the slope of the perpendicular line?

Select 1:
Question 3Answer

a.
-5

b.
-1/5

c.
1/5

d.
5

Answer 1

To find the slope of a line that is perpendicular to another line, you need to understand the relationship between their slopes.

The slope of the line given by the equation \( y = 5x + 6 \) is 5.

For a line to be perpendicular to this one, its slope must be the negative reciprocal of 5. The negative reciprocal of a number \( m \) is given by \( -\frac{1}{m} \).

So, the negative reciprocal of 5 is:

\[
-\frac{1}{5}
\]

Thus, the slope of the line that is perpendicular to the given line is \(-\frac{1}{5}\).

The correct answer is:

**b. -1/5**