Question

If the points A(3,-4) , B(4,5) and C(c,14) are collinear, find the value of x.
a) 4
b) 5
c) 6
d) 2​

Answer 1

Answer:

(-4-5)/(3-4):(14-5)/(c-4)

-9/(-1):9/(c-4)

c-4:9/9:1

c:1+4:5

The right is 5

Answer 2

Answer:

5

Step-by-step explanation:

A, B and C are co-linear, they lie on same line. It means their slope must be same.

⇒ Slope of AB = Slope of BC

⇒ (- 4 - 5)/(3 - 4) = (14 - 5)/(c - 4)

⇒ -9/(-1) = 9/(c - 4)

⇒ 9 = 9/(c - 4)

⇒ c - 4 = 9/9 = 1

⇒ c = 1 + 4 = 5