Question

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

Answer 1

The equation of the line L is
`x=2`

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

`x=2`