Answer: (-2,-1)
Step-by-step explanation:
A and B are the endpoints and we know that to find the midpoint, we need to find the average between the x and y values.
The x coordinate of A plus the x coordinate of B has to equal 0. We can represent that by the equation
[tex]\frac{x+2}{2} = 0[/tex] now solve for x to find the x coordinate of B by first multiplying both sides by 2.
x + 2 = 0 Subtract 2 from both sides
-2 -2
x = -2
So the x coordinate is -2 now find the y coordinate using the same method.
[tex]\frac{-5+y}{2} = -3[/tex] Multiply both sides by 2
-5 +y = -6 Add -5 to both sides
+5 +5
y = -1
The y coordinate is -1
so the coordinates of B is (-2,-1)
