Answer: y = x/6 - 1
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line.
c represents the y intercept.
The slope of the given line is 1/6.
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, - 2) is 1/6
To determine the y intercept, we would substitute m = 1/6, x = - 6 and y = -2 into y = mx + c. It becomes
- 2 = 1/6 × - 6 + c
- 2 = - 1 + c
c = - 2 + 1
c = - 1
The equation becomes
y = x/6 - 1
