Question

the points A(-1-4). B(b,c) and C(5,-1) are collinear
find the values of b and c​

Answer 1

Step-by-step explanation:

Given, point A,B and C are collinear

A(-1,-4) : x = -1 & y= -4.

B(b,c) : x2 = b & y2 = c.

C(5,-1) : x3 = 5 & y3 = -1.

By collinear formula,,,

x(y2-y3) + x2(y3-y) + x3(y1-y2) = 0.

; -1(c+1) + b(-1+4) + 5(-4-c) = 0.

; -c-1 -b +4b -20 - 5c = 0.

; 3b-6c-21 = 0.

; 3(b-2c-7) = 0.

; b-2c-7 = 0.

It's not show the accurate value of b and c but give the relationship between b and c.

Hope its will be helpful