On the coordinate plane, what does point (0, 5) represent?

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Answer 1 · 2016-06-22T11:15:49

#(0,5)# represents the coordinate of the point #(x,y)#

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#(x,y)->(0,5)#

If #x=0# then a projected vertical line passes through the point #x=0#. In this case it is the y-axis.

If #y=5# then a projected horizontal line passes through #y=5#

Where the two lines cross is the plotted point.

For this instance it is actually on the y-axis.
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#color(blue)("Consider the example of the point "(x,y)-> (5,10))#.

Project a line up from the 5 on the x-axis. Project a line along from the 10 on the y-axis. Where they cross is the point #(5,10)#

Tony B