Question

If the point(0,2), (1, x) and (3,1) are collinear, than

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x = 5/3

Step-by-step explanation:

m = $\frac{y_{2} -y_{1}}{x_{2} -x_{1} }$

If A(0, 2), B(1, x), C(3, 1) are collinear, then $m_{AB}=m_{BC}=m_{AC}$

$m_{AC} = \frac{1-2}{3-0} = - \frac{1}{3}$

$m_{AB}$ = $\frac{x-2}{1-0}$ = $- \frac{1}{3}$

3(x - 2) = - 1

3x - 6 = - 1 ⇒ x = $\frac{5}{3}$