Question

If 3,2,8,8and x,22/5 lie on line then x equals to

Answer 1

The value of x would be 5

Step-by-step explanation:

Since, three points are co-linear or lie on a same line,

If,

$x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0$

Thus,  if (3,2) ,(8,8) and (x,22/5) lie on line,

Then,

$3(8-\frac{22}{5})+8(\frac{22}{5}-2)+x(2-8)=0$

$3(\frac{40-22}{5})+8(\frac{22-10}{5})-6x=0$

$3(\frac{18}{5})+8(\frac{12}{5})-6x=0$

$\frac{54}{5}+\frac{96}{5}-6x=0$

$\frac{54+96-30x}{5}=0$

$150-30x=0$

$150=30x$

$\frac{150}{30}=x$

$\implies x = 5$

Hence, the value of x would be 5.

#Learn more:

Check whether the points (0,5) (0,-9) (3,6) are col-linear .

https://brainly.in/question/5933640