25. Find the slope of a straight line that pass through $$ (3,4) $$ and $$ (5,8) $$. (2 Points) $$ \frac{3}{2} $$ $$ \frac{2}{3} $$ $$ \frac{1}{3} $$ 2 26. Find the equation of a straight line that pass through $$ (3,4) $$ and $$ (5,8) $$. (2 Points) $$ 2 y=3 x+5 $$ $$ y=2 x-2 $$ $$ 3 y=2 x+2 $$ $$ y=2 x-3 $$

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### Problem 25:
**Find the slope of a straight line that passes through $$ (3,4) $$ and $$ (5,8) $$.**

The slope $$ m $$ of a line passing through two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is calculated as:

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

Plugging in the given points:

$$
m = \frac{8 - 4}{5 - 3} = \frac{4}{2} = 2
$$

**Answer:** 2

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### Problem 26:
**Find the equation of a straight line that passes through $$ (3,4) $$ and $$ (5,8) $$.**

Using the slope-intercept form $$ y = mx + b $$, where $$ m $$ is the slope and $$ b $$ is the y-intercept.

From Problem 25, we found $$ m = 2 $$.

Using point $$ (3,4) $$:

$$
4 = 2(3) + b \
4 = 6 + b \
b = 4 - 6 = -2
$$

So, the equation of the line is:

$$
y = 2x - 2
$$

**Answer:** $$ y = 2x - 2 $$

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**Summary of Answers:**
- **Problem 25:** 2
- **Problem 26:** $$ y = 2x - 2 $$
**Problem 25:** The slope is 2. **Problem 26:** The equation of the line is $$ y = 2x - 2 $$.

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