Final answer:
The slope of a line perpendicular to line B, which passes through points (5, 10) and (0,0), is -1/2.
Step-by-step explanation:
The student is asking for the slope of a line perpendicular to line B. To find the slope of line B that passes through the points (5, 10) and (0,0), we first calculate the slope of line B using the formula for slope, which is change in y over the change in x (rise over run). That would be (10 - 0) / (5 - 0), which simplifies to 2. The slope of a perpendicular line is the negative reciprocal of the slope of the original line. Thus, the slope of the line perpendicular to line B is the negative reciprocal of 2, which is -1/2.