Question

prove that point a(1, 1,) b(-2, 3), c(3, -3) are collinear

Answer 1

Answer:

Slope of two points A(x1,y1) & B(x2,y2)

=

$\frac{y2 - y1}{x2 - x1}$

You can find the slope of lines formed by these points

Slope of AB = 3-1/-2-1 = -2/3

Slope of BC = -3-3/3+2 = -6/5

Slope of CA = -3-1/3-1 = -2

HERE SLOPES ARE NOT EQUAL, SO THESE POINTS ARE NIT COLLINEAR.