Question

Write an equation in standard form for the line that passes through the given points.

(2,- 8) and (2, - 4)

Answer 1

x = 2

Explanation:

calculate slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (2, - 8 ) and (x₂, y₂ ) = (2, - 4 )

m =
`(-4-(-8))/(2-2)` =
`(-4+8)/(0)` =
`(4)/(0)`

since division by zero is undefined then the slope is undefined

a line with undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (2, - 8 ) and (2, - 4 ) with x- coordinates 2 , then

x = 2 ← equation of line