Final answer:
Graphically, to find the midpoint of points A(3,-6) and B(-7, -2), plot the points and draw a line segment between them. The midpoint can be found using the formula and will be at the coordinates (-2, -4), exactly in the middle of the line segment.
Step-by-step explanation:
To find the midpoint of points A(3,-6) and B(-7, -2) graphically, you would plot both points on a Cartesian coordinate system and draw a line segment connecting them. The midpoint is the point that divides the line segment into two segments of equal length.
The formula to calculate the midpoint M(x, y) of two points A(x1, y1) and B(x2, y2) is:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Applying the formula to points A(3, -6) and B(-7, -2):
M = ((3 + (-7)) / 2, (-6 + (-2)) / 2)
= (-4 / 2, -8 / 2)
The midpoint M is (-2, -4).
If you graphically plot this point, it will be exactly in the middle of the line segment connecting A and B.