Answer:
The x coordinate is 2
Step-by-step explanation:
Given
[tex]A = (-2,5)[/tex]
[tex]C = (6,-1)[/tex]
Required
Determine the x coordinate of B
Since B is the bisector of AC, then B is the midpoint and will be calculated using;
[tex]B(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Considering the x coordinates alone;
[tex]x = \frac{x_1 + x_2}{2}[/tex]
Where
[tex](x_1,y_1) = (-2,5)[/tex] and [tex](x_2,y_2) = (6,-1)[/tex]
Substitute values for x1 and x2
[tex]x = \frac{-2 + 6}{2}[/tex]
[tex]x = \frac{4}{2}[/tex]
[tex]x = 2[/tex]
Hence;
The x coordinate is 2
