is it possible to draw a line through (0,0) that never hits another lattice point?

1. if no why not?

2. if yes, find the equation of the line

every line passes through a lattice point of the form (a, b) where a an b are real numbers.

so, if a line is passing through (0, 0), then it must pass through some ordered pair in the real plane.

from this, we can write that any line through (0, 0) will automatically pass through infinite lattice points.

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