Asked by Natalia
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
Answers
Answered by
Steve
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)
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)
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