Question

point A is located at (-4,8) on then coordinate plane. Point B is located at (4,8). point c is plotted on the horizontal line connecting point A and Point B. the distance between point c and point a is the same distance between point c and b!!What are the coordinates of point c!!

Answer 1

The coordinates of the point C is (0,8)

Here, we want to get the coordiates of point C

From the question, it can be seen that point C is equidistant from points A and B

What this mean is that it is at the midpoint of AB

We can use the mid-point formula to get the coordinates of point B

We have this as;

$\begin{gathered} (x,y)\text{ = (}\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}) \\ \\ (x_1,y_1)=\text{ (-4,8)} \\ (x_2,y_2)\text{ = (4,8)} \\ \\ (x,y)\text{ = (}\frac{4-4}{2},\frac{8+8}{2}) \\ \\ (x,y)\text{ = (0,8)} \end{gathered}$