Question

Question
Find the slope of a line that passes through (–10, –1) and (5, - 4).
Responses
-1/5
1
1/3
-3

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:

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

Here, the points are \((-10, -1)\) and \((5, -4)\). We can assign:

\[
(x_1, y_1) = (-10, -1) \quad \text{and} \quad (x_2, y_2) = (5, -4)
\]

Now, substitute the coordinates into the slope formula:

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

Thus, the slope of the line that passes through the points \((-10, -1)\) and \((5, -4)\) is \(-\frac{1}{5}\).

So the answer is \(-\frac{1}{5}\).