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4) which point has coordinates (-1, 5)?

Question

  1. which point has coordinates (-1, 5)?

Explanation:

Step1: Recall coordinate system rules

In a coordinate system, a point \((x, y)\) means moving \(x\) units along the x - axis (left for negative, right for positive) and \(y\) units along the y - axis (down for negative, up for positive). For the point \((- 1,5)\), the \(x\) - coordinate is \(-1\) (so we move 1 unit to the left of the origin along the x - axis) and the \(y\) - coordinate is \(5\) (we move 5 units up along the y - axis).

Step2: Analyze each point

  • Point \(K\): Looking at its position, it has a different \(x\) and \(y\) value from \((-1,5)\).
  • Point \(M\): Its \(y\) - coordinate is 4, not 5.
  • Point \(N\): When we check the x - axis, it is at \(x=-1\) (1 unit left of origin) and y - axis at \(y = 5\) (5 units up), which matches the coordinates \((-1,5)\).
  • Point \(L\): It is in the lower part of the graph with a negative \(y\) - coordinate, so it does not match.

Answer:

Point \(N\)