Question

L(1,2) , M(5,3) , N(8,6) Determine whether the given points are collinear or not.

Answer 1

No the given points are not collinear

Answer 2

Answer:

No, they are not collinear.

Step-by-step explanation:

In the given question,

To find the collinearity of the points we have to calculate the slope of the line joining the points ML and the line joining the points NM.

If the slope is same then the points are collinear, otherwise they are not collinear.

Now,

L = (1, 2)

M = (5, 3)

N = (8, 6)

Also,

The slope of the line passing through two points is given by,

$Slope, m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So,

The slope of the line ML is given by,

$Slope, m=\frac{3-2}{5-1}\\Slope, m=\frac{1}{4}$

Now,

The slope of the line NM is given by,

$Slope, m=\frac{6-3}{8-5}\\Slope, m=\frac{3}{3}=1$

So,

We can see that the slope is not same.

Therefore, the points L, M and N are not collinear.