Question

What is an equation of the line that passes through the points (-6, 2) and
(-6, 6)?

Answer 1

x = - 6

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, 2) and (x₂, y₂ ) = (- 6, 6)

m =
`(6-2)/(-6+6)` =
`(4)/(0)`

Since division by zero is undefined then the slope of the line is undefined.

This indicates the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 6, 2) and (- 6, 6) with x- coordinates of - 6, thus

x = - 6 ← is the equation of the line