Find the slope of a line that passes through (−10,−1)

and (5, −4)
.(1 point)
Responses

-3
-3

1
1

13
1 third

−15
negative 1 fifth

1 answer

To find the slope \( m \) of a line that passes through the points \((x_1, y_1) = (-10, -1)\) and \((x_2, y_2) = (5, -4)\), we use the formula for the slope:

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

Substituting in the coordinates of the points:

\[ m = \frac{-4 - (-1)}{5 - (-10)} = \frac{-4 + 1}{5 + 10} = \frac{-3}{15} = -\frac{1}{5} \]

Thus, the slope of the line is:

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

So the correct response is:

−15 (negative 1 fifth).