Question

which point has coordinates (-4.5, -4)?

Explanation:

Step1: Recall coordinate system rules

In a coordinate \((x,y)\), \(x\) is horizontal (left/right), \(y\) is vertical (up/down). Negative \(x\) is left of origin, negative \(y\) is below origin.

Step2: Analyze \(x = -4.5\), \(y = -4\)

• \(x = -4.5\): Between \(x = -5\) and \(x = -4\) (halfway left of \(-4\)).
• \(y = -4\): On the line \(y = -4\) (below origin).

Step3: Identify the point

• Point \(K\): \(y = 4\) (positive), eliminate.
• Point \(L\): \(x\) positive, eliminate.
• Point \(M\): \(x\) near \(-4\) but not \(-4.5\), eliminate.
• Point \(N\): \(x\) between \(-5\) and \(-4\) (\(-4.5\)), \(y = -4\). Matches \((-4.5, -4)\).

Answer:

N