Line l passes through point (2, -5) and is perpendicular to the line with equation y=7. determine the equation of line l

The equation of the line L is

Step-by-step explanation:

we know that

The line y=7

Is a horizontal line (parallel line to the x-axis)

The slope of a horizontal line is equal to zero

A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)

The slope of the line L is undefined

The line L passes through the point (2,-5)

therefore

The equation of the line L will be equal to the x-coordinate of the given point

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linear pair postulates