Select the equation of the line that passes through the point (3,5) and is
perpendicular to the line x = 4, (2 points)
O 1) y = 5
O2) x = 5
O3) y = 4
O 4) x=3

The horizontal line is a line parallel to x-axis
The equation of a horizontal line passes through point (a , b) is y = b, because the y-coordinates of all points on the line are equal
The vertical line is a line parallel to y-axis
The equation of a vertical line passes through point (a , b) is x = a, because the x-coordinates of all points on the line are equal
The horizontal line and the vertical line are perpendicular

∵ The equation of the given line is x = 4

- From the 4th note above the given line is a vertical line

∴ The given line is a vertical line

- The perpendicular line to a vertical line is a horizontal line

∴ The perpendicular line to the given line is horizontal

∵ The perpendicular line passes through the point (3 , 5)

∵ The equation of the horizontal line is y = b, where b the

y-coordinate of any point lies on the line

∵ The point (3 , 5) lies on the line

- The y-coordinate of the point is 5

∴ b = 5

∴ The equation of the perpendicular line is y = 5

The equation of the line that passes through the point (3 , 5) and is

perpendicular to the line x = 4 is y = 5

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