Question

10.

Answer 1

Answer:

$y=\frac{1}{13} x+\frac{32}{13}.$

Step-by-step explanation:

1. the midpoint of the side AC is:

$D:(\frac{3-2}{2};\frac{4+1}{2})=(0.5;2.5).$

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:

$\frac{x-7}{7-0.5}=\frac{y-3}{3-2.5}; \ \frac{x-7}{13}=\frac{y-3}{1}$

or

$y=\frac{1}{13} x+\frac{32}{13}$