Question

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

Answer 1

Answer - Yes. 

Explanation -

Let the Points P(2,-5), Q(1,-3), R(-2,3) 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 = (-3 + 5)/(1 - 2)    
        = 2/-1  
        = -2

Now For th Slope of QR, 

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

Since, the Slope of both the lines PQ and QR are  same therefore, Points are Collinear.


Hope it helps.