Question

which point has coordinates (-2, -1)? a coordinate plane with points a, b, c, d plotted. point a is at (1,2), b at (1,-2), c at (2,1), d at (-2,-1). below the graph are four buttons labeled a, b, c, d.

Explanation:

Step1: Recall coordinate system rules

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

Step2: Analyze \((-2, -1)\)

For \(x = -2\), move 2 units left from origin. For \(y = -1\), move 1 unit down from origin.

Step3: Identify the point

Check each point:

• A: \((1, 2)\) (right 1, up 2) – no.
• B: \((1, -2)\) (right 1, down 2) – no.
• C: \((2, 1)\) (right 2, up 1) – no.
• D: At \(x = -2\), \(y = -1\) (left 2, down 1) – matches.

Answer:

D