This is a BMAT question from 2021, the correct answer is letter e), i got it right but i had to draw the graph and did it more or less by try and error, by drawing the graph of the reflected line and found some points for x and y, until it made sense the position of the points of the new line. Is there any faster and more accurate way to solve it?

The line with equation y = –2x + 1 is reflected in the line with equation x = 2 Which of the following is the equation of the new line?

A y=− 1/2x −2

B y=−1/2x+1

C y=−1/2x+7/4

D y=−1/2x+3

E y=2x–7

F y=2x–1

G y=2x+1

H y=2x+3