Final answer:
The slope of line a is 2/6 or 1/3, which means for every increase of 1 unit on the horizontal axis, there is an increase of 1/3 units on the vertical axis. The equation y - 7 / x - 5 = 2 / 6 represents this slope.
Step-by-step explanation:
The slope of a line can be determined by the ratio of the vertical change (rise) to the horizontal change (run) between two points. In the equation y - 7 / x - 5 = 2 / 6, the slope is 2/6, which can be simplified to 1/3. This means that for every increase of 1 unit on the horizontal axis, there is a increase of 1/3 units on the vertical axis.
To find the horizontal and vertical lengths of the triangle, we need more information about the triangle. The equation provided does not provide enough information to determine the lengths of the sides of the triangle.