Question

L(2,5), M(3,3), N(5,1) Determine whether the given points are collinear or not.

Answer 1

Answer - No. 

Explanation -

Let the Points L(2, 5), M(3,3), N(5,1) be L(x₁, y₁), M(x₂,y₂), N(x₃,y₃).

Let us first find the Slope of LM,

∵ m = $\frac{y_2 - y_1}{x_2 - x_1}$
∴ m = (3 - 5)/(3 - 2)    
        = -2/1 
        = -2

Now For th Slope of MN, 

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

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


Hope it helps.