M is the midpoint of segment AN, A has coordinates (-6,2) and M has coordinates (-1, -3). What are the coordinates of N?
-1 - (-6) = +5
-1 + 5 = 4
-3 -2 = -5
-3 +(-5) = -8
so
(4,-8)
check
Is -1 halfway between -6 and +4
yes
Is -3 halfway between 2 and -8
yes
Ok, I think I understand. so the coordinates of N are (4, -8)
yes
Graph it to see what I did.
Thanks so much! I get it now
To find the coordinates of point N, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two given points (x₁, y₁) and (x₂, y₂) can be found using the following equations:
Midpoint x-coordinate: (x₁ + x₂) / 2
Midpoint y-coordinate: (y₁ + y₂) / 2
In this case, the coordinates of point A are (-6, 2), and the coordinates of point M are (-1, -3). We can plug these values into the midpoint formula to find the coordinates of point N:
Midpoint x-coordinate: (-6 + x₂) / 2 = -1
-6 + x₂ = -2
x₂ = 4
Midpoint y-coordinate: (2 + y₂) / 2 = -3
2 + y₂ = -6
y₂ = -8
Therefore, the coordinates of point N are (4, -8).