Final answer:
The coordinates of endpoint B are found using the midpoint formula, resulting in the coordinates (-18, 1) when given the midpoint M(-5, -1) and endpoint A(8, -3).
Step-by-step explanation:
The coordinates of endpoint B can be found using the midpoint formula, which is M = ((x1 + x2)/2, (y1 + y2)/2).
Since we have the coordinates of A(8, -3) and the midpoint M(-5, -1), we can set up two equations to solve for B's coordinates: (-5 = (8 + x2)/2) for the x-coordinate and (-1 = (-3 + y2)/2) for the y-coordinate.
To find the x-coordinate of B, we solve the equation: -5 = (8 + x2)/2 which gives us x2 = -18. To find the y-coordinate of B, we solve the equation: -1 = (-3 + y2)/2 which gives us y2 = 1. Therefore, the coordinates of endpoint B are (-18, 1).
The complete question is:
M is the midpoint of AB. Given A(8, -3) and M(-5, -1), find the coordinates of endpoint B. Point B has an x-coordinate of and a y-coordinate of is: