Find the slope through (-4,-2) and (-2,2)

1 answer

To find the slope (\(m\)) of the line through the points \((-4, -2)\) and \((-2, 2)\), you can use the slope formula:

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

Where:

  • \((x_1, y_1) = (-4, -2)\)
  • \((x_2, y_2) = (-2, 2)\)

Plugging in the values:

\[ m = \frac{2 - (-2)}{-2 - (-4)} = \frac{2 + 2}{-2 + 4} = \frac{4}{2} = 2 \]

Thus, the slope of the line through the points \((-4, -2)\) and \((-2, 2)\) is \(2\).