A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The graph that has a point (6, 8) is the correct graph.
What are coordinates?
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
In the given set of ordered pairs, there is a pattern that is been followed which can be generalised as,
(xₙ₊₁ , yₙ₊₁) = (xₙ+1, yₙ+1)
Therefore, the next ordered pair after (4,6) will be,
(xₙ₊₁ , yₙ₊₁) = (4+1, 6+1) = (5, 7)
The next ordered pair after (5,7) will be,
(xₙ₊₁ , yₙ₊₁) = (5+1, 7+1) = (6, 8)
Hence, the graph that has a point (6, 8) is the correct graph.
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