Question

find the slope of the line that goes through the points (-4,-7) and (-10,-8).
slope m=
enter your answer as an integer or a reduced fraction in the form A/B

Answer 1

To find the slope \( m \) of a line that goes through the points \((-4, -7)\) and \((-10, -8)\), we use the slope formula:

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

Here, \((x_1, y_1) = (-4, -7)\) and \((x_2, y_2) = (-10, -8)\).

Now, substitute the values into the slope formula:

\[
m = \frac{-8 - (-7)}{-10 - (-4)}
\]

Calculating the differences in the numerator and denominator:

\[
m = \frac{-8 + 7}{-10 + 4}
\]
\[
m = \frac{-1}{-6}
\]

Now simplify the fraction:

\[
m = \frac{1}{6}
\]

Thus, the slope \( m \) is

\[
\boxed{\frac{1}{6}}
\]