Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$ (-1,3) $$ and $$ (5,5) $$ Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The slope is B. The slope is undefined. Indicate whether the line through the points rises, falls, is horizontal, or is vertical. A. The line falls from left to right. B. The line rises from left to right. C. The line is horizontal. D. The line is vertical.

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Let's determine the slope of the line passing through the points $$(-1, 3)$$ and $$ (5, 5) $$, and then describe its behavior.

### 1. Calculating the Slope

The slope $$ m $$ of a line passing through two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by the formula:

$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

Plugging in the given points:

$$
m = \frac{5 - 3}{5 - (-1)} = \frac{2}{6} = \frac{1}{3}
$$

**Choice A:** The slope is $$ \frac{1}{3} $$.

### 2. Describing the Line's Behavior

Since the slope $$ m = \frac{1}{3} $$ is positive, the line **rises** from left to right.

**Choice B:** The line rises from left to right.

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**Final Selections:**

- **A.** The slope is $$ \frac{1}{3} $$.
- **B.** The line rises from left to right.
The slope is $$ \frac{1}{3} $$, and the line rises from left to right.

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