What is the slope of the line passing through $(-3,5)$ and $(2,-5)$?
We have $m = \dfrac{y_2 - y_1}{x_2-x_1} = \dfrac{-5-5}{2-(-3)} = \dfrac{-10}{5} = \boxed{-2}$.
-2
Level 2
Algebra
Problem: What is the slope of the line passing through $(-3,5)$ and $(2,-5)$?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the slope of a line given two points, we use the formula for slope, which is defined as the change in the y-coordinates divided by the change in the x-coordinates. 

Let the two points be \( (x_1, y_1) = (-3, 5) \) and \( (x_2, y_2) = (2, -5) \). 

First, calculate the change in y-coordinates:
\[
y_2 - y_1 = -5 - 5 = -10
\]

Next, calculate the change in x-coordinates:
\[
x_2 - x_1 = 2 - (-3) = 2 + 3 = 5
\]

Now, apply the slope formula:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-10}{5}
\]

Simplifying this fraction gives:
\[
\text{slope} = -2
\]

Thus, the final answer is -2.<|END_OF_LATENT|> The final answer is $-2$.