Use a determinant to find y such that $$( 6 , - 15 ) , ( 12 , y )$$ ,and $( 15 , - 6 )$ are collinear.
A) $$y = - 33$$
B) $y = 15$
C) $y = 3$
D) $y = - 6$
E) $y = - 9$

Name: Use a determinant to find y such that \[( 6 , - 15 ) , ( 12 , y )\] ,and $( 15 , - 6 )$ are collinear. A) \[y = - 33\] B) $y = 15$ C) $y = 3$ D) $y = - 6$ E) $y = - 9$
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Question

Quizplus · Accepted Answer

For points to be collinear, the determinant of the matrix formed by their coordinates must be zero. Solving the determinant equation for y gives y = -9.

Use a Determinant to Find Y Such That (6,−15),(12,y)( 6 , - 15 ) , ( 12 , y )(6,−15),(12,y)

Use a Determinant to Find Y Such That $( 6 , - 15 ) , ( 12 , y )$