Question

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

13
1 third

1
1

-3
-3

−15

Answer 1

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

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

In your case, the points are \((-10, -1)\) and \((5, -4)\). So, let:

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

Now, substitute these values into the slope formula:

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

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

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