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What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Why not C?

Using Point A and B, equation of line joining both points can be found, finally slope ( say m)

We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)

Using one Point A and slope (-1/m) we can derive equation

Like wise, Point B can be done.

Please explain

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