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Things we need to keep in mind in order to plot a point :
Signs of the coordinates shows which side it lies on.
similarly,
Now, let's proceed ~
First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.
So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.