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

Question

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

00:00 Find the slope of the line

00:03 We will use the formula to find the slope of a line using 2 points

00:08 We will substitute the points according to the given data and solve for the slope

00:30 And this is the solution to the question

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 $1$ .