Find the equation of the median of a triangle. Consider the triangle having vertices A(−3,2), B(5,4) and C(3,−8).

Step 1: Note down the given vertices and calculate the mid points of the sides.
NOTE: Note down the endpoints (x_1, y_1)and (x_2, y_2) from the given
points. And substitute the values into the midpoint formula.
[FORMULA: The midpoint formula is
M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})
where M is the midpoint of a line segment with endpoints
at (x_1, y_1) and(x_2, y_2).
Step 2: Find the slope of the line between the opposite vertex and each midpoint.
NOTE: m = \frac{y_2 - y_1}{x_2 - x_1}
Step 3: Calculate the equation of the line containing the median from the vertex and the slope.
NOTE: y - y_1 = m(x - x_1)
Step 4:Substitute the known values in the line equation and simplify
Step 5: Do this for the other two medians as well.