Question

Write the line of the line that passes through (2,7) and is perpendicular to the given line?

y=-5

x=-5

Answer 1

1. x = 2
2. y = 7

Explanation:

The perpendicular to a horizontal line is a vertical one, and vice versa. The relevant equations are ...

... x = <constant> . . . . . a vertical line

... y = <constant> . . . . . a horizontal line

To make the line go through a particular point, the constant must be the coordinate of the point.

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1. Perpendicular to horizontal line y = -5 is vertical line x = 2 (through point (2, 7)).

2. Perpendicular to vertical line x = -5 is horizontal line y = 7 (through point (2, 7)).