Final answer:
To find the equation of a median AM in a triangle, find the coordinates of point M using the midpoint formula and then use the point-slope form of a line to find the equation of line AM.
Step-by-step explanation:
To find the equation of a median AM in a triangle, we need to find the coordinates of point M, which is the midpoint of side BC. We can find the coordinates of M by using the midpoint formula:
M = (xM, yM) = ((xB + xC)/2, (yB + yC)/2)
Once we have the coordinates of M, we can use the point-slope form of a line to find the equation of line AM, which is given by y - yA = m(x - xA), where m is the slope of line AM.
Finally, substitute the coordinates of point A and point M into the equation to get the equation of line AM.