What is the slope of the line?

the graph line has a dot right by (5,10) and at the bottom there a zigzag dot by negative ( 5,-10)
A.
-2

B.
-1/2

C.
2

D.
1/2

1 answer

To find the slope of the line that passes through the points (5, 10) and (-5, -10), you can use the slope formula:

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

Let \( (x_1, y_1) = (5, 10) \) and \( (x_2, y_2) = (-5, -10) \). Plugging in these values:

\[ m = \frac{-10 - 10}{-5 - 5} \]

\[ m = \frac{-20}{-10} \]

\[ m = 2 \]

So, the slope of the line is 2. The correct answer is:

C. 2