What is the equation of a vertical line passing through (-5, -2)?

Solution:

Given a point (-5, -2)

We know that the slope of the y-axis is undefined

So, any vertical line is parallel to the y-axis, its slope is also undefined

We have the equation of vertical line as x = k where k can be any value on the x-axis

Since the line is passing through the point (-5, -2), we need to put x = -5

So, x = k = -5

Hence, the required equation of the vertical line passing through (-5,-2) is x = -5.

What is the equation of a vertical line passing through (-5, -2)?

Summary:

The equation of a vertical line passing through (-5, -2) is x = -5.