What is the first step in writing the equation of a median of a triangle?

To write the equation of a median of a triangle, the first step is to determine the midpoint of the opposite side. A median is a line segment drawn from one vertex of the triangle to the midpoint of the side opposite that vertex. By finding the midpoint, you establish one key endpoint of the median, allowing you to then use the coordinates of both the vertex from which the median is drawn and the midpoint to calculate the slope and ultimately write the equation.

Once the midpoint is identified, you can proceed to calculate the slope of the median and then use the point-slope form of a linear equation. Other options, such as calculating the area of the triangle or finding the lengths of the sides, are not directly pertinent to writing the equation of a median and do not contribute to the immediate task of defining that line segment.