MarkFL said:Let's label the coordinates of point $C$ as $(x,y)$...then (as you correctly surmised), the mid-point formula gives us (since $B$ is said to be the mid-point of $\overline{AC}$):
\(\displaystyle \left(\frac{-1+x}{2},\frac{2+y}{2}\right)=(5,-3)\)
This gives us 2 equations:
\(\displaystyle \frac{-1+x}{2}=5\)
\(\displaystyle \frac{2+y}{2}=-3\)
Solving each will give you the values of $x$ and $y$. :D
The coordinates of Point C refer to the set of numbers that uniquely identify the location of Point C in a specific coordinate system. These coordinates are usually in the form of (x,y) or (latitude, longitude).
To determine the coordinates of Point C on a graph, you need to identify the x and y axes and then find the intersection point of the vertical and horizontal lines that pass through Point C. The x-coordinate is the number on the horizontal axis and the y-coordinate is the number on the vertical axis at the intersection point.
Yes, the coordinates of Point C can be negative depending on the coordinate system being used. In a Cartesian coordinate system, the x and y axes can have both positive and negative values, while in a polar coordinate system, only the radial distance can be negative.
The coordinates of Point C are essential in navigation as they provide a precise location of Point C on a map or a GPS device. This allows for accurate navigation and tracking of movement, whether on land, sea, or air.
No, the coordinates of Point C can vary depending on the coordinate system being used. For example, in a three-dimensional Cartesian coordinate system, Point C would have three coordinates (x, y, z), while in a two-dimensional polar coordinate system, Point C would have two coordinates (r, θ).