The coordinate point of point B (x₁, y₁) will be (−4, 10). Then the correct option is D.
What is coordinate geometry?
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB.
Then the coordinate of the point B(x₁, y₁) will be
We know that the mid-point formula
[tex]\rm (x, y)= \left ( \dfrac{x_1+x_2}{2}, \ \dfrac{y_1+y_2}{2} \right )\\\\(-1, 8)=\left ( \dfrac{2+x_2}{2}, \ \dfrac{6+y_2}{2} \right )\\\\ \dfrac{2+x_2}{2}=-1 \\\\2+x_2=-1\times 2\\\\x_2=-2-2\\\\x_2=4\\\\\dfrac{6+y_2}{2} =8\\\\6+y_2=8\times 2\\\\6+y_2=16\\\\y_2=16-6\\\\y_2=10[/tex]
Then the coordinate point of B (x₁, y₁) is (−4, 10).
Hence, the coordinate point of point B (x₁, y₁) will be (−4, 10). Then the correct option is D.
More about the coordinate geometry link is given below.
brainly.com/question/1601567
#SPJ2
