Final answer:
To find the coordinates of point B, we can use the midpoint formula. Given the midpoint (-4,-5) and one endpoint A (-7,-8), we substitute the values into the formula to solve for the coordinates of B. The coordinates of B are (-1,-12).
Step-by-step explanation:
To find the coordinates of point B, we can use the formula for finding the midpoint between two points:
Midpoint formula: (xM, yM) = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that the midpoint (M) is (-4, -5) and one endpoint A is (-7, -8), we can substitute these values into the formula:
(-4, -5) = ((-7 + x2) / 2, (-8 + y2) / 2)
Simplifying the equation:
-4 = (-7 + x2) / 2
-5 = (-8 + y2) / 2
Multiplying both sides of the equation by 2:
-8 = -7 + x2
-10 = -8 + y2
Solving for x2 and y2:
x2 = -1
y2 = -12
Therefore, the coordinates of point B are (-1, -12).
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