Question

Find the slope (0,-8) (0,4)

Answer 1

To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

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

In this case, the two points are \((0, -8)\) and \((0, 4)\). Let's assign the points as follows:

- \((x_1, y_1) = (0, -8)\)
- \((x_2, y_2) = (0, 4)\)

Now, we can substitute the coordinates into the slope formula:

\[
\text{slope} = \frac{4 - (-8)}{0 - 0} = \frac{4 + 8}{0} = \frac{12}{0}
\]

Since the denominator is zero, the slope is undefined. This means that the line passing through these points is vertical.

So, the slope of the line through the points \((0, -8)\) and \((0, 4)\) is **undefined**.