Answer:B is the correct option.
Step-by-step explanation:
Looking at the equation representing the first cut,
y = - x/3 + 6
The graph is a straight line graph. The equation for a straight line graph can be represented in the slope intercept form,
y = mx + c
Where
m represents the slope ( change in y / change in x)
c represents the intercept.
Looking at the given equation, the slope is - 1/3
If two lines are parallel, it means that they have equal slope. Since the line of the second cut must be parallel to the line of the first cut, the slope of the line of the second cut will be - 1/3
To find the the intercept of the equation of the line of the second cut, we will substitute
x = - 1/3, y = - 2 and x = 0 into y = - 2 into y = mx + c. It becomes
-2 = - 1/3 × 0 + c
c = - 2
The equation becomes
y = -x/3 - 2
