Question

for what value of x will the points (x,-1),(2,1) and (4,5) lie on a line​

Answer 1

Answer:

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Step-by-step explanation:

Given points will be collinear if the area of the triangle formed by them is zero.

∴ Area of the triangle = 0

Let A(x, -1), B(2,1) and C(4,5)

x1 (y2 – y3) + x2 (y3 - y1) +x3 (y1 - y2) = 0

=> x (1-5) + 2 (5+1) + 4 (-1-1) = 0

=> -4x + 12 - 8=0

=> x = 1