Use the description of the pair of lines given below to find the slopes of Line 1 and Line 2.
Line 1: Passes through $(0,9)$ and $(4,-31)$
Line 2: Passes through $(-1,16)$ and $(9,-84)$
slope of Line 1
slope of Line 2

Step 1 ：The problem provides us with two lines, Line 1 and Line 2, and the coordinates of two points on each line.

Step 2 ：Line 1 passes through the points (0,9) and (4,-31).

Step 3 ：Line 2 passes through the points (-1,16) and (9,-84).

Step 4 ：We can find the slope of a line using the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\), where (x_1, y_1) and (x_2, y_2) are the coordinates of two points on the line.

Step 5 ：Let's use this formula to find the slopes of Line 1 and Line 2.

Step 6 ：For Line 1, substituting the given points into the formula, we get: \(m = \frac{-31 - 9}{4 - 0} = -10.0\)

Step 7 ：For Line 2, substituting the given points into the formula, we get: \(m = \frac{-84 - 16}{9 - (-1)} = -10.0\)

Step 8 ：So, the slopes of Line 1 and Line 2 are both -10.0.

Step 9 ：Final Answer: The slopes of Line 1 and Line 2 are both \(\boxed{-10.0}\)