Question

8. Find the values of x, if A(x,2), B(-3,-4) and C(7,-5) are colliner​

Answer 1

Answer:

x = -63

Step-by-step explanation:

We know that the area formed by any three collinear points is 0.

We can use the Area of the triangle formula to find the value of 'x'

The Coordinates are;

A(x, 2)

B(-3, -4)

C(7, -5)

Area of the triangle formed = 0

⇒ ¹/₂ [x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]  = 0

⇒ ¹/₂ [x(-4 - (-5) + -3(-5 - 2) + 7(2 - (-4)] = 0

⇒  ¹/₂ [x(-4 + 5) + -3(-7) + 7(2 + 4)] = 0

⇒ ¹/₂ [x(1) + 21 + 7(6)] = 0

⇒ ¹/₂ [x + 21 + 42] = 0

⇒ x + 63 = 0 × 2

⇒  x = -63

Hence, the value of 'x' is -63.