Question

What is the equation of the line described below written in slope-intercept form?

the line passing through point (2, 2) and perpendicular to the line whose equation is y = x

Answer 1

Just like last question
Line perpendicular to the given line will have negative reciprocal slope from the given line
that it
y = x
m = 1
slope of perpendicular line = -1
perpendicular line passes through (2,2)
so using point slope equation form
y - y1 = m(x-x1)
y -2 = (-1)(x -2)
y -2 = -x +2
y = -x

Answer 2

I'm just confused because the answers are

y = x - 4

y = x + 4

y = -x + 4

Sorry, I'm really bad at these.

Answer 3

Sorry last line my mistake
y - 2 = -x +2
y = -x +4