Question

P(1, 2) ,Q(2,8/5 ) , R(3,6/5) Determine whether the given points are collinear or not.

Answer 1

Answer - No. 

Explanation -

Let the Points P(1, 2) ,Q(2,8/5 ) , R(3,6/5) be P(x₁, y₁), Q(x₂,y₂), R(x₃,y₃).

Let us first find the Slope of PQ,

∵ m = $\frac{y_2 - y_1}{x_2 - x_1}$
∴ m = (8/5 - 2)/(2 - 1)    
        = -1/1  
        = -1

Now For th Slope of QR, 

m = $\frac{y_3 - y_2}{x_3 - x_2}$   
    = (6/5 - 8/5)/(3 - 2)  
    = (-2/5)/1
    = -2/5

Since, the Slope of both the lines PQ and QR are not same therefore, Points are non-Collinear.


Hope it helps.

Answer 2

Step-by-step explanation:

YES . POINTS ARE COLLINEAR