Answer:
x = - 6
Step-by-step 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 = [tex]\frac{6-2}{-6+6}[/tex] = [tex]\frac{4}{0}[/tex]
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
