find the equation of a line parallel to x axis, passing through(3, -6)

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We need the equation of a line parallel to the x axis and passing through (3, -6). Now a line parallel to the x-axis is one that has the same value of y for all values of x.

As the line required passes through (3, -6), y has to be equal to -6.

Therefore the equation of a line parallel to the x axis, passing through the point (3, -6) is y = -6.

 

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