What is the slope of this line?

Question

8
7
6
5
4
3
2-
1
(4, 6)
(3, 3)
-8 -7-61
-5
-2 -1
2
-7
-2
-3
-4-
-5.
-6.
-7
3
41
5
7
8
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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Answer 1

To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

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

From your text, the two points are \((4, 6)\) and \((3, 3)\).

Here, we identify:

• \((x_1, y_1) = (4, 6)\)
• \((x_2, y_2) = (3, 3)\)

Now, let's plug these values into the slope formula:

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

Calculating the numerator and denominator:

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

Simplifying this gives:

\[ m = 3 \]

Thus, the slope of the line is \(3\).