Question

Show that the points A(-1.5,3) B(6,-2),C(-3,4) are collinear

Answer 1

the points can be shown as collinear as the arear of triangle formed by the points is 0 square units.. a detailed explanation is as follows

Answer 2

Answer and Explanation:

To show : The points A(-1.5,3), B (6,-2) and C (-3,4) are collinear.

Solution :  

When three points are collinear then the condition is

$x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) = 0$

Where, $x_1 = -1.5, x_2 = 6,x_3 = -3, y_1 = 3, y_2 = -2, y_3 = 4$

Substituting the values,

$=(-1.5)(-2-4) + 6(4-3) +(-3)(3-(-2))$

$=(-1.5)(-6) + 6(1) +(-3)(5)$

$=9 + 6-15$

$=15-15$

$=0$

The condition satisfied so the points are collinear.