Question

1 (0,0)
2 (2, -2)
3 (4,-4)
4 (6,-6)

What is the slope of the line
Two
One
-2
-1

Answer 1

To find the slope of the line defined by the given points, we can use the slope formula:

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

Let's choose two points from the provided data. For example, we can use the first two points: (0, 0) and (2, -2).

Using these points:
- \( (x_1, y_1) = (0, 0) \)
- \( (x_2, y_2) = (2, -2) \)

Now, plug the values into the slope formula:

\[
m = \frac{-2 - 0}{2 - 0} = \frac{-2}{2} = -1
\]

Thus, the slope of the line is \(-1\).

If we check other pairs of points:
- For points (2, -2) and (4, -4):

\[
m = \frac{-4 - (-2)}{4 - 2} = \frac{-4 + 2}{2} = \frac{-2}{2} = -1
\]

- For points (4, -4) and (6, -6):

\[
m = \frac{-6 - (-4)}{6 - 4} = \frac{-6 + 4}{2} = \frac{-2}{2} = -1
\]

In all cases, the slope remains \(-1\).

So the answer to your question is:

**-1**