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

•-1/5

1/3

• 1

• -3

1 answer

To find the slope of a line that passes through two points, you can use the formula:

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Given the points (-10, -1) and (5, -4), we can assign:

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

Now, substituting these values into the slope formula:

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

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

The correct answer is: -1/5.