Line Segment Division/Graphing Lines (Leaving Cert Mathematics): Quizzes

A point dividing it in a specific ratio

$\frac{mx_2 + nx_1}{m + n}$

$\frac{mx_2 - nx_1}{m - n}$

Internal uses + in numerator & denominator

When $m = n$

$\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$

$(5.6, 5.4)$

$(-14, -7)$

$\frac{mx_2 + nx_1}{m + n}$

$(7, 10)$

Finding points in ratios & midpoints