Final answer:
The slope of the linear relation is 3, as there is a rise of 3 units on the vertical axis for every 1 unit increase on the horizontal axis, which is consistent along the straight line.
Step-by-step explanation:
To find the slope of a linear relation represented in a table or a graph, you will typically need two points on the line. According to the information provided, the slope of the line is described as a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis. This defines the slope as the ratio of the rise to the run. Therefore, the slope (m) is equal to 3, as stated in the description.
The y-intercept (b) of the line is 9, which means this is the point where the line crosses the y-axis. Although the table mentioned in the question was not provided, the critical details needed to answer the question have been given in the description. When plotting this line on a graph, for every step right along the x-axis, you move up 3 steps on the y-axis, indicating the slope of 3.