Question

Show that the point a(-5 1) b(5 5) and c(10 7) are collinear

Answer 1

Step-by-step explanation:

if the points are collinear then the area of triangla formed by those points is 0

formula =1/2|x1(y2-y3) +x2(y3-y1)+x3(y1-y2)|

1/2| -5(5-7)+5(7-1)+10(1-5)|

1/2|-5(-2)+5(6)+10(-4)|

1/2|10+30-40|

1/2|40-40|=1/2(0)=0

therefore we can say that they are collinear