Which of these points lies on the line described by the equation below? y - 4 = -2(x - 6) a. (-6, -4) b. (-4,-6) c. (6,4) d. (4,6)

Option C is correct.i.e., ( 6 , 4 ) lie on given line.

Step-by-step explanation:

Given Equation, y - 4 = -2 ( x - 6 )

Option A:

From given point, x = -6 and y = -4

LHS = y - 4 = -4 - 4 = -8

RHS = -2 ( x - 6 ) = -2 ( -6 - 6 ) = -2 × ( -12 ) = 24

LHS ≠ RHS

⇒ This point does not lie on given line.

Option B:

From given point, x = -4 and y = -6

LHS = y - 4 = -6 - 4 = -10

RHS = -2 ( x - 6 ) = -2 ( -4 - 6 ) = -2 × ( -10 ) = 20

LHS ≠ RHS

⇒ This point does not lie on given line.

Option C:

From given point, x = 6 and y = 4

LHS = y - 4 = 4 - 4 = 0

RHS = -2 ( x - 6 ) = -2 ( 6 - 6 ) = -2 × ( 0 ) = 0

LHS = RHS

⇒ This point lie on given line.

Option D:

From given point, x = 4 and y = 6

LHS = y - 4 = 6 - 4 = 2

RHS = -2 ( x - 6 ) = -2 ( 4 - 6 ) = -2 × ( -2 ) = 4

LHS ≠ RHS

⇒ This point does not lie on given line.

Therefore, Option C is correct.i.e., ( 6 , 4 ) lie on given line.

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