Question

Determine if the give points r collinear : (1,5) (2,3) (-2,-11) by using distance formula and area of a triangle

Answer 1

$= \frac{1}2 |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|$
$= \frac{1}{2 } | 1(3 - ( - 11))2( - 11 - 5) - 2(5 - 3) |$
$= \frac{1}{2 } |1(3 + 11)2( - 16) - 2(2) |$
$= \frac{1}{2} | 1(14) - 32 - 4 |$
$= \frac{1}{2} | 14 - 32 - 4 |$
$= \frac{1}{2} |14 - 36 |$
$= \frac{1}{2} | - 22 |$
$= \frac{1}{2} (22)$
$= 11$