Whar Is The Equation Of A Vertical Line Through (-8,10)

Question

Vertical Line

Answer 1

The equation of a vertical line can not be expressed in the Slope-Intercept form of an equation (because the slope is undefined).

 

However, the Standard Form of an equation [ Ax + By = C ] has the advantage of describing this quite well (with A=1 and B=0).

 

The problem describes the line:  [ x = C ]      So, what is C?     Use the point (-8,10) to determine it:

       (-8) = C

 

This makes the equation (in Standard Form):

      x = -8

Answer 2

A vertical line has an equation in the form x = k, where k is some constant. To pass through (-8, 10), k = -8

 

x = -8.