Final answer:
To find H's location, the midpoint formula is used. The midpoint M's coordinates allow for solving two equations to find H's x and y values, thus finding point H's location.
Step-by-step explanation:
The student asked for the location of point H, given that M is the midpoint of GH, G is located at (-7,2), and M is located at (-4,-1). To find H, we need to use the midpoint formula, where M is the average of the G and H coordinates.
Since M is the midpoint, the coordinates of M are:
M = ((xG + xH)/2, (yG + yH)/2)
Thus, we can set up the equations:
-4 = (-7 + xH)/2
-1 = (2 + yH)/2
By solving these equations, we find xH and yH, which gives us the coordinates of H.