Question

which point in the image below corresponds to the point $(-5, -1)$?

Explanation:

Step1: Understand the coordinate system

In a coordinate system, the first number in an ordered pair \((x,y)\) is the \(x -\)coordinate (horizontal axis) and the second number is the \(y -\)coordinate (vertical axis). For the point \((- 5,-1)\), \(x=-5\) (move 5 units to the left of the origin along the \(x -\)axis) and \(y =-1\) (move 1 unit down from the \(x -\)axis along the \(y -\)axis).

Step2: Locate the point

Looking at the points:

• Point \(A\) has \(x = 5\) (positive \(x -\)value).
• Point \(B\) has positive \(x\) and negative \(y\) values.
• Point \(C\) has positive \(x\) and positive \(y\) values.
• Point \(D\) has negative \(x\) and more negative \(y\) values (compared to \(y=-1\)).
• Point \(E\) has \(x=-5\) and \(y=-1\)

Answer:

Point \(E\)