All vertical lines are linear equation

Question

Im really confused and it need to be answered today. I am in 8th grade and i need help.

Answer 1

Yes, all vertical lines may be represented by a linear equation.  It will have the form x=constant.

 

The Standard Form of the equation of a line is:    Ax+By=C

   It is used because the slope-intercept from requires a slope; and the slope of a vertical line is undefined.

   So, B=0 and x=constant    (note:  C/A is a constant because both C and A are constants)

 

Also, note that vertical lines are not functions (they fail the "vertical line test" because there are multiple y values for a given x value).  Yet, they are still lines and can be represented by a linear equation (not linear function).

Answer 2

all vertical lines have UNDEFINED slope and their equations are of the form x = constant; they cannot be put into the form of y = mx+b, the Slope Intercept form.

 

Vertical lines are not FUNCTIONS; lines having defined slope (m) ARE LINEAR FUNCTIONs and their equations can all be written as y = mx+b