Question

Find the slope of a line that passes through (–10, –1) and (5, - 4).
Responses

-3

1/3

-1/5

1

Answer 1

To find the slope of a line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\), we can use the formula for slope \( m \):

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

Given the points \((–10, –1)\) and \((5, -4)\):

- \( (x_1, y_1) = (-10, -1) \)
- \( (x_2, y_2) = (5, -4) \)

Plugging in the values:

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

Thus, the slope of the line is \(-\frac{1}{5}\).

The correct response is:

**-1/5**