Answer:
y = x + 5
Step-by-step explanation:
The equation of any two parallel lines differ by a constant.
That is, the equation of the line parallel to the line y = ax + b is y = ax + c.
The equation of the line is given to be: y = x - 6.
Therefore, the equation of the parallel line would be:
y = x + b
Since, the point (-3, 2) passes through the point, we can substitute in the equation to determine the value of 'b'.
Hence, 2 = - 3 + b
So. b = 5.
Therefore, the equation of the line becomes:
y = x + 5
