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A graph Includes the ordered pair (2,4). Write two different rules that would be possible for this graph. Explain how you found your answer. 

Sagot :

we know that
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.

In this problem, the ordered pair is
[tex](2,4)[/tex]
so
the x-coordinate is equal to [tex]2[/tex]
the y-coordinate is equal to [tex]4[/tex]

therefore

Rule N 1
The y-value is [tex]2[/tex] times the x-value

Rule N 2
The y-value is [tex]2[/tex] greater than the x-value     

Both are possible because their solutions include the ordered pair listed          

Answer with explanation:

It is given that , graph includes the ordered pair (2,4). As both "x coordinate and y coordinate" are positive , so the point will lie in first quadrant.

The Rules which seems possible for this graph.

1. The sum of Abscissa and ordinate is 6, and ordinate is twice the abscissa.

    2. The Difference of Abscissa and ordinate or ordinate and abscissa is | 2 |.

→Intuitively thinking about the point (2,4)  and thinking what are different possibilities that can be possible with this point i wrote these two sentences about the graph.

Also, it is not given that which kind of graph it is , linear , curve etc.