Use similar triangles to determine the slope of the line. Write your answer in fraction form.

Answer 1

To determine the slope of a line using similar triangles, we need to find the ratio of the vertical change to the horizontal change on the line.

Let's consider two points on the line, $A$ and $B$, with coordinates $(x_1,y_1)$ and $(x_2,y_2)$ respectively.

The slope of the line is equal to the ratio of the vertical change to the horizontal change between these two points:

$$\text{slope} = \frac{\text{vertical change}}{\text{horizontal change}} = \frac{y_2-y_1}{x_2-x_1}.$$

Therefore, the slope of the line in fraction form is $\boxed{\frac{y_2-y_1}{x_2-x_1}}$.