What is the slope of this line?

Question

8
(2,7)
7
6
5
4
3
2
1
(- 2,1)
-1
1
2
3
4
5
6
7
8
-8
-7
-6
-5
-4
-3
-2
X
-1-
-2
-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 the line that goes through the points (2, 7) and (-2, 1), we can use the slope formula:

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

Here, we designate:

• \( (x_1, y_1) = (2, 7) \)
• \( (x_2, y_2) = (-2, 1) \)

Now, substituting the values into the formula:

\[ m = \frac{1 - 7}{-2 - 2} \]

Calculating the differences:

\[ m = \frac{-6}{-4} \]

This simplifies to:

\[ m = \frac{6}{4} = \frac{3}{2} \]

Thus, the slope of the line is:

\[ \boxed{\frac{3}{2}} \]