Final answer:
To find the slope of the line from Bob's house to his school, you calculate the change in y over the change in x, which in this case is 2/8 or 1/4, hence the slope of the line is a) 1/4.
Step-by-step explanation:
The student has described Bob's location relative to his school which is 8 blocks east and 2 blocks north.
To calculate the slope of the straight line from his house to the school, we use the slope formula, which is (change in y)/(change in x) or Δy/Δx. In this case, the change in y is 2 blocks (north direction) and the change in x is 8 blocks (east direction). So, the slope is 2/8 which simplifies to 1/4.
Therefore, the slope of the line is positive, as both changes (in x and y) are positive, and its value is 1/4.
To find the slope of the line, we need to determine the change in y-coordinates (rise) and the change in x-coordinates (run) between two points.
Given that Bob lives 8 blocks east and 2 blocks north of his school, we can consider the two points as (0,0) and (8,2).
The change in y-coordinates is 2 - 0 = 2, and the change in x-coordinates is 8 - 0 = 8.
Therefore, the slope of the line is 2/8, which simplifies to 1/4.
So, the correct option is a) 1/4