Question

Find the slope of the line that passes through (-39, -6) and (-40, -36).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points \((-39, -6)\) and \((-40, -36)\), we can use the formula for the slope \(m\) given by:

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

In our case, let's assign the values:

- \((x_1, y_1) = (-39, -6)\)
- \((x_2, y_2) = (-40, -36)\)

Now, substitute these values into the slope formula:

\[
m = \frac{-36 - (-6)}{-40 - (-39)}
\]

First, simplify the terms in the numerator and the denominator:

1. For the numerator:
\[
-36 - (-6) = -36 + 6 = -30
\]

2. For the denominator:
\[
-40 - (-39) = -40 + 39 = -1
\]

Now substitute these simplified values back into the formula for the slope:

\[
m = \frac{-30}{-1} = 30
\]

Thus, the slope of the line that passes through the points \((-39, -6)\) and \((-40, -36)\) is:

\[
\boxed{30}
\]