Question

Find slope through: (5, -5) and (-4, -1)

Answer 1

To find the slope \( m \) between the two points \((x_1, y_1) = (5, -5)\) and \((x_2, y_2) = (-4, -1)\), you can use the formula for the slope:

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

Substituting in the coordinates of the points:

\[
m = \frac{-1 - (-5)}{-4 - 5}
\]

This simplifies to:

\[
m = \frac{-1 + 5}{-4 - 5} = \frac{4}{-9} = -\frac{4}{9}
\]

Therefore, the slope of the line through the points \((5, -5)\) and \((-4, -1)\) is \(-\frac{4}{9}\).