Question

the coordinates $(-2,-5)$ represent which point? point $c$ point $e$ point $b$ point $d$

Explanation:

Step1: Understand coordinate system

In a coordinate system, the first number in an ordered pair \((x,y)\) is the \(x\) - coordinate (horizontal), and the second number is the \(y\) - coordinate (vertical). For the point \((- 2,-5)\), we move \(2\) units to the left along the \(x\) - axis (since \(x=-2\)) and \(5\) units down along the \(y\) - axis (since \(y = - 5\)).

Step2: Locate the point

Looking at the graph:

• Point \(D\) has coordinates \((-4,2)\) (move \(4\) units left along \(x\) - axis and \(2\) units up along \(y\) - axis).
• Point \(E\) has coordinates \((1,5)\) (move \(1\) unit right along \(x\) - axis and \(5\) units up along \(y\) - axis).
• Point \(C\) has coordinates \((4,-3)\) (move \(4\) units right along \(x\) - axis and \(3\) units down along \(y\) - axis).
• Point \(B\) has coordinates \((-2,-5)\) (move \(2\) units left along \(x\) - axis and \(5\) units down along \(y\) - axis).

Answer:

point \(B\)