Write a point-slope equation of the line using the coordinates of the labeled point.

a. y + 4 = –(x + 4)

b. y + 4 = (x + 4)

c. y – 4 = (x – 4)

d. y – 4 = –(x – 4)

First, we write our point-slope equation, y-y1=m(x-x1). You have a slope of -1 and a point of (4,4), giving you x1=4 and y1=4. Plugging these in you get y-4=-1(x-4) which is y-4=-(x-4), or answer choice D.