Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.

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Solution

$Slope of a line parallel to x-axis = 0 Since the line passes through (4, 3) The required equation of the line parallel to x-axes is y - y_{1} = m (x - x_{1}) y - (3) = 0 (x - 4) y - 3 = 0 y = 3 Slope of a line perpendicular to x-axis = \frac{- 1}{0} The required equation of the line perpendicular to x-axis is y - y_{1} = m (x - x_{1}) y - 3 = \frac{- 1}{0} (x - 4) 0 = - x + 4 x = 4$

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