Find the Line Passing Through (0,0) and (5,-5): Coordinate Geometry

To find the slope of the line passing through the points $(0, 0)$ and $(5, -5)$, we will use the slope formula. Let's follow these steps:

• Step 1: Identify the points as $(x_1, y_1) = (0, 0)$ and $(x_2, y_2) = (5, -5)$.
• Step 2: Substitute these values into the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$.
• Step 3: Perform the calculation:
  $m = \frac{-5 - 0}{5 - 0} = \frac{-5}{5} = -1$

The calculation shows that the slope $m$ is $-1$.

Therefore, the solution to the problem is $m = -1$.