Question

What is the slope of this line?
8
7
6
5
4
3
2
1
(5,3)
X
-8
-7
-6
-5
-4
-3
-2
-1
-1
2
3
4
5
6
7
8
-2
(0,-1)
-3
-4
-5
-6-
-7
-8
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

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

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

From your description, it appears that we have two points:

1. Point A: (5, 3)
2. Point B: (0, -1)

Here, we can assign:
- \( (x_1, y_1) = (5, 3) \)
- \( (x_2, y_2) = (0, -1) \)

Now, substitute these coordinates into the slope formula:

\[
m = \frac{-1 - 3}{0 - 5}
\]

Calculate the numerator:

\[
-1 - 3 = -4
\]

And the denominator:

\[
0 - 5 = -5
\]

Now substitution yields:

\[
m = \frac{-4}{-5}
\]

This simplifies to:

\[
m = \frac{4}{5}
\]

Thus, the slope of the line is

\[
\boxed{\frac{4}{5}}.
\]