Line segment segment CD has a slope of negative start fraction two over three end fraction and contains point C(−3, −6). What is the y-coordinate of point Q(−1, y) if segment QC is perpendicular to line segment segment CD question mark

Answer 1

CD has slope 2/3
so, QC has slope -3/2

CD:
y+6 = 2/3 (x+3)

CQ (since it contains point C):
y+6 = -3/2 (x+3)
At x = -1,

y+6 = -3/2 (-1+3)
y+6 = -3
y = -9

Q is thus (-1,-9)