Question

R(1,-4), S(-2,2), T(-3,4)Determine whether the given points are collinear or not.

Answer 1

Answer - No. 

Explanation -

Let the Points R(1,-4), S(-2,2), T(-3,4) be R(x₁, y₁), S(x₂,y₂), T(x₃,y₃).

Let us first find the Slope of RS,

∵ m = $\frac{y_2 - y_1}{x_2 - x_1}$
∴ m = (2 + 4)/(-2 - 1)    
        = 6/-3  
        = -2

Now For th Slope of ST, 

m = $\frac{y_3 - y_2}{x_3 - x_2}$   
    = (4 - 2)/(-3 - 2)  
    = -2/5

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


Hope it helps.

Answer 2

Answer:

These points are non-collinear