Question

Check if the given points (3,9), (-4, 2),(0,6) are collinear or not​

Answer 1

Answer:

COLLINEAR

Step-by-step explanation:

If the given points are collinear, then the slope of any pair of points is the same.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(3,\ 9),\ (-4,\ 2),\ (0,\ 6)$

$\text{for}\ (3,\ 9),\ (-4,\ 2)\\\\m=\dfrac{2-9}{-4-3}=\dfrac{-7}{-7}=1$

$\text{for}\ (-4,\ 2),\ (0,\ 6)\\\\m=\dfrac{6-2}{0-(-4)}=\dfrac{4}{4}=1$

$\text{for}\ (3,\ 9),\ (0,\ 6)\\\\m=\dfrac{6-9}{0-3}=\dfrac{-3}{-3}=1$