Open Question: What coordinates satisfy this slope?

Technically, your question doesn't make any sense, since a coordinate cannot have a slope, only a line can.

The formula 'y=mx+b' describes a straight line, where 'm' is the slope, and 'b' is the y-intercept.

Any two lines with the same slope will be parallel to each other, so any line whose 'y=mx+b' formula has the same 'm' value and a different 'b' value will satisfy the requirements of your questions.

So, for instance:

y = 10x + 1 and y = 10x + 2 are the formulas for two parallel lines with a slope of 10.

To get coordinates on these lines, just plug in values for 'x' and solve for 'y'. For instance:

(0,1), (1,11), and (2,21) are on the line 'y = 10x + 1', and
(0,2), (1,12), and (2,22) are on the line 'y = 10x + 2'.

(:-o)

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