What is the slope of this line?

Question

8
7
6
5
4
3
2
1
(3, 2)
-8
-7
-6
-5
-4
-3
-2
-1
-1
1
2
3
4
5
X
6
78 7
8
-2
3
-4
-5
(0,-2)
-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, we can use the formula for slope \( m \):

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

From the information provided, we have the points (3, 2) and (0, -2).

Let's assign the coordinates:

• Point 1 (x₁, y₁) = (3, 2)
• Point 2 (x₂, y₂) = (0, -2)

Now, we can plug these values into the slope formula:

\[ m = \frac{-2 - 2}{0 - 3} = \frac{-4}{-3} = \frac{4}{3} \]

Thus, the slope of the line is:

\[ \frac{4}{3} \]