Answer:
D. [tex]y=\frac{1}{3}x[/tex]
Step-by-step 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:
[tex]m=\frac{y_{2} -y_{1}}{x_{2}- x_{1} }[/tex]
Let's take [tex]x_{2} = 6[/tex], [tex]x_{1} = 3[/tex] and [tex]y_{2} = 2[/tex], [tex]y_{1} = 1[/tex]
[tex]m = \frac{2-1}{6-3} =\frac{1}{3}[/tex]
Equation of the line is [tex]y=mx[/tex]
we obtain, with m = 1/3:
[tex]y=\frac{1}{3}x[/tex]
