Final answer:
The slope of a line with a rise of 5 and run of 10 is determined by dividing the rise by the run, resulting in a simplified slope of 1/2.
Step-by-step explanation:
The slope of a line is calculated as the rise divided by the run. In this case, the line has a rise of 5 and a run of 10. To find the simplified slope, you would divide the rise by the run:
m = rise / run = 5 / 10
When simplified, this fraction reduces to 1/2, because both the numerator and denominator can be divided by 5:
m = 5 / 10 = 1/2
Therefore, the answer is a) 1/2. This is the simplified slope of the line.