What is the slope of this line?

8
7
6
5
4
3
2
1
(4,4)
(2, 2)
-8
-7
-6
-5
-4
-3
-2
-1
1
2
1
2
3
4
X
5
6
7
8
-3
-4
-5
-6
-7
-8
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

1 answer

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

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

From your given points (4, 4) and (2, 2), we can assign:

  • \( (x_1, y_1) = (2, 2) \)
  • \( (x_2, y_2) = (4, 4) \)

Now plug these values into the slope formula:

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

Thus, the slope of the line is:

\[ \boxed{1} \]

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