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Do the ordered pairs (1,4) and (4,1) represent the same point on the coordinate plane? Explain.


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Sagot :

Answer:

No they do not

Step-by-step explanation:

On a coordinate plane there are 4 quadrants 1,4 is in quadrant 1 and 4,1 is in quadrant 2

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The ordered pairs (1,4) and (4,1) do not represent the same point on the coordinate plane because:

(1,4) represents a point that at x = 1 when y = 4 (at Quadrant 1)

(4,1) represents a point that at x = 4 when y = 1. (at Quadrant 2)

Recall:

  • Given the coordinates for a point on the graph as (x, y), the x-coordinate represents the point along the x-axis as against the y-coordinate alone the y-axis.

Thus, the points,  (1,4) and (4,1), represents different points:

(1,4) represents a point that at x = 1 when y = 4 (at Quadrant 1)

(4,1) represents a point that at x = 4 when y = 1. (at Quadrant 2)

Therefore, the ordered pairs (1,4) and (4,1) do not represent the same point on the coordinate plane because:

(1,4) represents a point that at x = 1 when y = 4 (at Quadrant 1)

(4,1) represents a point that at x = 4 when y = 1. (at Quadrant 2)

Learn more about coordinate plane on:

https://brainly.com/question/24675494