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Substitute the coordinates of the point into the equation and if the result is a true statement then the point is a solution, and if not it isn't.
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
That will depend on the value of the slope which has not been given.
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