Question

the coordinates $(-5,2)$ represent which point?

Explanation:

Step1: Understand coordinate system

In a coordinate system, the first number in \((x,y)\) is the \(x -\)coordinate (horizontal), the second is the \(y -\)coordinate (vertical).
For \((- 5,2)\), \(x=-5\) (move 5 units left from origin) and \(y = 2\) (move 2 units up from \(x=-5\)).

Step2: Locate the point

Looking at the graph:

• Point \(B\): \(x\) - coordinate is around \(-1\), \(y\) - coordinate is \(-5\).
• Point \(C\): \(x\) - coordinate is \(5\), \(y\) - coordinate is \(-2\).
• Point \(E\): \(x\) - coordinate is \(1\), \(y\) - coordinate is \(5\).
• Point \(D\): \(x=-5\), \(y = 2\) (matches \((-5,2)\)).

Answer:

\(D\)