Question

What is the slope of this line? -4,1 4,-1

Answer 1

To find the slope of a line given two points, you can use the slope formula:

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

In your case, the two points are (-4, 1) and (4, -1). We can assign the coordinates as follows:

- \( (x_1, y_1) = (-4, 1) \)
- \( (x_2, y_2) = (4, -1) \)

Now, substitute the values into the slope formula:

\[
m = \frac{-1 - 1}{4 - (-4)} = \frac{-2}{4 + 4} = \frac{-2}{8} = -\frac{1}{4}
\]

Thus, the slope of the line is \(-\frac{1}{4}\).