Question

by using slope show that the points are collinear : a( 0,4),b(2,10),c(3,13)

Answer 1

short trick 100% work

$slope \: of \: ab \: = \frac{ y_{2} - y_{1} }{x_{2} - x_{1} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{10 - 4}{2 - 0} = 3 \\ slope \: of \: bc = \frac{13 - 10}{3 - 2} = 3 \\ slope \: are \: same \: so \: point \: a \: \: b \: \: \: c \\ \: are \: collinear$