Use the image to answer the question.

Question

(0, 0), 1, (1, -3), 3, 2, (2, -6), 6, (3, -9)
What is the slope of the line?
A. -6
B. 3
C. -3
D. -1

Answer 1

To find the slope of the line defined by the given points, we'll use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

From the data, we can choose any two points. Let's use the points (1, -3) and (2, -6):

• Point 1: \((x_1, y_1) = (1, -3)\)
• Point 2: \((x_2, y_2) = (2, -6)\)

Now apply the slope formula:

\[ m = \frac{-6 - (-3)}{2 - 1} \]

This simplifies to:

\[ m = \frac{-6 + 3}{1} = \frac{-3}{1} = -3 \]

Thus, the slope of the line is:

C. -3