Answer:
[tex]y=\frac{1}{13} x+\frac{32}{13}.[/tex]
Step-by-step explanation:
1. the midpoint of the side AC is:
[tex]D:(\frac{3-2}{2};\frac{4+1}{2})=(0.5;2.5).[/tex]
2. if the coordinates of the points B and D are (7;3) and (0.5;2.5) respectively, then it is possible to make up the required equation of the median BD:
[tex]\frac{x-7}{7-0.5}=\frac{y-3}{3-2.5}; \ \frac{x-7}{13}=\frac{y-3}{1}[/tex]
or
[tex]y=\frac{1}{13} x+\frac{32}{13}[/tex]
