Question

Show that the sets of points are collinear and find the eqaution of the line L containing them (a,b+c),(b,c+a),(c,a+b)

Answer 1

Answer:

Proof... by slope method.

Step-by-step explanation:

Points given  A(a, b+c)   and  B (b, c+a)  and  C(c, a+b)

A, B and C are collinear.

So slope of AB = slope AC  = m.

so   (c+a-c-b) / (b-a)  = m = (a+b-a-c)/(c-b)       -1 =  m = - 1

Hence the two segments AB and AC have the same slope = -1.

So ABC is a single straight line.