Finding the Slope: Right Triangle Formed by (5,0) and (0,-5)

Calculate the slope of the line that forms a right triangle with the axis x and the axis y and passes through the points $(5,0),\lparen0,-5)$.

To solve this problem, we will calculate the slope of the line passing through the given points:

• Step 1: Identify coordinates: The points are $(5, 0)$ and $(0, -5)$.
• Step 2: Use the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substituting the coordinates, we have: $m = \frac{-5 - 0}{0 - 5}$
• Step 3: Simplify the expression: $m = \frac{-5}{-5} = 1$

Thus, the slope of the line is $1$.

Therefore, the solution to the problem is $1$.