Question

Using slope concept , determine whether R(1,-4), S(-2,2)
and T(-3,4) are collinear or not .

Answer 1

R(1,-4),S(-2,2) and T(-3,4)
Slope of line `RS = (2-(-4))/(-2-1)`
`= (2+4)/(-3)`
` = (6)/(-3) = - 2`
Slope of line `ST = (4-2)/(-3-(-2))`
` = (2)/(-1) = -2`
Slope of line RS = slope of line ST and S is the common point .
` therefore ` points R,S and T are collinear.
Points R (1,-4), S (-2,2),and T (-3,4) are collinear.