ANSWER
y = x + 23
Step-by-step explanation
We want to find the equation of the line parallel to:
y = x + 5
A line that is parallel to another line has the same slope as that line.
The slope of the equation above is 1. This means that the slope of the line we need is 1.
We will use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
where m = slope = 1
(x1, y1) = (-7, 16)
Therefore:
y - 16 = 1(x -(-7))
y - 16 = x + 7
Collect like terms:
y = x + 7 + 16
y = x + 23
That is the equation of the line.