B is the midpoint of AC C has coordinates (-1,0) and B has coordinates (10,8) find the coordinates of A
To find the coordinates of point A, we need to use the midpoint formula. The midpoint formula states that the coordinates of a midpoint B between two points A and C can be found by taking the average of the coordinates of A and C.
The midpoint formula is given by:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
In this case, we know the coordinates of point B (10, 8) and C (-1, 0). Let's substitute the values into the formula:
Midpoint = ((-1 + x₁) / 2, (0 + y₁) / 2)
Since B is the midpoint, we can set up the following equation:
(10 + x₁) / 2 = -1
(8 + y₁) / 2 = 0
Solving the first equation for x₁:
10 + x₁ = -2
x₁ = -12
Solving the second equation for y₁:
8 + y₁ = 0
y₁ = -8
Therefore, the coordinates of point A are (-12, -8).