Question

determine whether the point are collinear R(0,3) ,D (2,1) ,S(3,-1)​

Answer 1

Step-by-step explanation:

Let the Points R(0,3), D(2,1), S(3,-1) be R(x₁, y₁), D(x₂,y₂), S(x₃,y₃).

Let us first find the Slope of RS,

∵ m = \frac{y_2 - y_1}{x_2 - x_1}

x

2

−x

1

y

2

−y

1

∴ m = (1 - 3)/(2 - 0)

= -2/2

= -1

Now For th Slope of DS,

m = \frac{y_3 - y_2}{x_3 - x_2}

x

3

−x

2

y

3

−y

2

= (-1 - 1)/(3 - 2)

= -2/1

= -2

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