Question

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
-5,-4 1,-4

Answer 1

To find the slope of the line that passes through the points \((-5, -4)\) and \( (1, -4)\), we can use the slope formula:

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Let:
- \((x_1, y_1) = (-5, -4)\)
- \((x_2, y_2) = (1, -4)\)

Now, substitute the coordinates into the formula:

\[
m = \frac{-4 - (-4)}{1 - (-5)} = \frac{-4 + 4}{1 + 5} = \frac{0}{6} = 0
\]

The slope of the line is \(0\).

This means the line is horizontal. The final answer is:

\[
\boxed{0}
\]