Question

By using distance formula ,show that the points (4,2)(7,5) and (9,7) are collinear

Answer 1

Step-by-step explanation:

distance between points (4,2)and (7,5)=√(7-4)^2+(5-2)^2=√9+9=√18=3√2

distance between points (7,5) and (9,7)=

√(9-7)^2+(7-5)^2=√4+4=√8=2√2

distance between points (9,7) and (4,2)=

√(4-9)^2+(2-7)^2=√25+25=√50=5√2

this shows that these three points lie in a line and are collinear .

I hope it helps