Question

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

Answer 1

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