Question

which point in the image below corresponds to the point (3, -6)?

Explanation:

Step1: Understand the 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 \((3,-6)\), \(x = 3\) (move 3 units to the right of the origin) and \(y=-6\) (move 6 units down from the \(x\) - axis).

Step2: Locate the point

Looking at the points:

• Point \(A\): Check its \(x\) and \(y\) values. If \(x\) is not \(3\), it's not the point.
• Point \(B\): Check \(y\) - value. Since \(y\) is not \(-6\), it's not the point.
• Point \(C\): For point \(C\), when we consider the \(x\) - axis, moving 3 units to the right (since \(x = 3\)) and then 6 units down (since \(y=-6\)), we can confirm its position.
• Point \(D\): \(y\) - value is not \(-6\).
• Point \(E\): \(y\) - value is not \(-6\).
• Point \(F\): \(y\) - value is not \(-6\).

Answer:

\(C\)