M is the midpoint of Symbol for Segment A B.. Find the coordinates of B given A(7,-2) and M(10,10). Show your work for credit
midpoint formula is all i have to say.
you figure it out yourself how the answer is (13,22)
To find the coordinates of point B, we first need to understand what it means for M to be the midpoint of segment AB.
The midpoint of a line segment is the point that divides the segment into two equal halves. The coordinates of the midpoint can be calculated using the average of the x-coordinates and the average of the y-coordinates of the two endpoints.
Given that M is the midpoint of segment AB, and the coordinates of A are (7, -2), we can use the midpoint formula to calculate the coordinates of B.
Midpoint Formula:
The midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the coordinates:
[(x₁ + x₂)/2, (y₁ + y₂)/2]
Using the coordinates of A(7, -2) and M(10, 10), we can substitute these values into the midpoint formula:
x-coordinate of B = (x-coordinate of A + x-coordinate of M)/2
y-coordinate of B = (y-coordinate of A + y-coordinate of M)/2
x-coordinate of B = (7 + 10)/2 = 17/2 = 8.5
y-coordinate of B = (-2 + 10)/2 = 8/2 = 4
Therefore, the coordinates of B are (8.5, 4).