Question

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which point has coordinates (-2, -1.5)?

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 \(x = -2\)

Find the vertical line \(x = -2\) (2 units left of origin). Points on this line: \(Q\), \(T\), \(S\).

Step3: Analyze \(y = -1.5\)

\(y = -1.5\) is halfway between \(y = -1\) and \(y = -2\). Check points on \(x = -2\):

• \(Q\): \(y\) is positive (above x - axis), so no.
• \(T\): \(y\) is at - 0.5 (between \(y = 0\) and \(y = -1\)), no.
• \(S\): \(y\) is between \(y = -1\) and \(y = -2\) (halfway, \( - 1.5\)), yes.

Answer:

S