Question

The point(5,-1), (1,k) and (4,-2) are collinear if the value of k is :​

Answer 1

Answer:

k = - 5

Step-by-step explanation:

if the points were collinear then

| x1 ( y2 - y3 ) + x2 ( y3 - y1 ) + x3 ( y1 - y2 ) | = 0 / zero

here

x1 = 5         y1 = -1        

x2 = 1          y2= k

x3 = 4          y3= -2

so then you substitute in the above given formula and you should get

5k+10-1-4-4k = 0/zero

therefore k = -5