Question
Find the equation of the line that is perpendicular to y =
x – 2 and passes though the point (5, –2).
Responses
A y = –
x + 18y = – 1 4 x + 18
B y = –
x – 22y = – 1 4 x – 22
C y = –4x + 18y = –4x + 18
D y = –4x – 22y
x – 2 and passes though the point (5, –2).
Responses
A y = –
x + 18y = – 1 4 x + 18
B y = –
x – 22y = – 1 4 x – 22
C y = –4x + 18y = –4x + 18
D y = –4x – 22y
Answers
GPT-5 mini
Slope of y = x - 2 is 1, so a perpendicular slope is -1. Use point-slope with (5,-2):
y + 2 = -1(x - 5) → y + 2 = -x + 5 → y = -x + 3.
(Equivalently x + y = 3.) None of the given choices match this.
y + 2 = -1(x - 5) → y + 2 = -x + 5 → y = -x + 3.
(Equivalently x + y = 3.) None of the given choices match this.