Question

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points​ rises, falls, is​ horizontal, or is vertical.
left parenthesis negative 6 comma 1 right parenthesis and left parenthesis 5 comma 1 right parenthesis
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.
The slope is
  
enter your response here. ​(Simplify your​ answer.)
B.
The slope is undefined.

Answer 1

To find the slope of the line passing through the points \((-6, 1)\) and \((5, 1)\), we can use the formula for slope \(m\):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, the coordinates of the points are:
- \((x_1, y_1) = (-6, 1)\)
- \((x_2, y_2) = (5, 1)\)

Substituting the values into the slope formula gives:

\[
m = \frac{1 - 1}{5 - (-6)} = \frac{0}{5 + 6} = \frac{0}{11} = 0
\]

Since the slope is \(0\), this indicates that the line is horizontal.

### Final Answer:
A. The slope is \(0\). The line is horizontal.