Answer:
D.
![y=(1)/(3)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/npbs7nzqolpkba831nggtslcdnongpkvo3.png)
Explanation:
The slope of a line in a rectangular representation system (of a Cartesian plane) is usually represented by the letter m, and is defined as the difference in the Y axis divided by the difference in the X axis for two different points in a straight. The following equation describes:
![m=(y_(2) -y_(1))/(x_(2)- x_(1) )](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zzfjeo0ui0euqebc055fe4rb9pbmwilzkr.png)
Let's take
,
and
,
![y_(1) = 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ew4ty8030t6wdcw8s7im4k9tfcmjlvfhtd.png)
![m = (2-1)/(6-3) =(1)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ycy1q64ed2q577vysapaqw5d7lh0po1b2z.png)
Equation of the line is
![y=mx](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rti023gnmf0eoebu9lv4mc68pcnv7yw90a.png)
we obtain, with m = 1/3:
![y=(1)/(3)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/npbs7nzqolpkba831nggtslcdnongpkvo3.png)