Question

prepare for representing proportional relationships. think about what you know about graphing. fill in each box. use words, numbers and pictures. show as many ideas as you can. radil says that the ordered - pair for the point shown is (7, 5). explain why radil is incorrect.

Explanation:

1. x - coordinate: The horizontal position of a point on a graph. In a two - dimensional coordinate system, it indicates how far left or right a point is from the origin. Example: In the point (3, 4), 3 is the x - coordinate.
2. y - coordinate: The vertical position of a point on a graph. It shows how far up or down a point is from the origin. Example: In the point (3, 4), 4 is the y - coordinate.
3. ordered pair: A pair of numbers (x, y) that represents a point in a two - dimensional plane. The first number is the x - coordinate and the second is the y - coordinate. Example: (5, 2) represents a point where the x - value is 5 and the y - value is 2.
4. origin: The point (0, 0) in a two - dimensional coordinate system where the x - axis and y - axis intersect.

For the statement about Radil: Radil is incorrect because when naming an ordered pair, the x - coordinate (the value on the horizontal axis) comes first and the y - coordinate (the value on the vertical axis) comes second. Looking at the graph, if we assume the scale is as shown, we count the horizontal distance from the origin first and then the vertical distance. If we count correctly, the x - value of the point is less than 7 and the y - value is greater than 5. So the ordered pair he gave (7, 5) does not match the position of the point on the graph.

Answer:

1. x - coordinate: Horizontal position of a point on a graph. Example: In (3, 4), 3 is the x - coordinate.
2. y - coordinate: Vertical position of a point on a graph. Example: In (3, 4), 4 is the y - coordinate.
3. ordered pair: A pair (x, y) representing a point in 2 - D plane. Example: (5, 2).
4. origin: The point (0, 0) where axes intersect.

Radil is incorrect as the x - coordinate (horizontal value) and y - coordinate (vertical value) in the ordered pair are mis - identified for the given point on the graph.