Question

Point R divides  in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?

Answer 1

$\frac{|PQ|}{|QR|}=\frac{1}{3}\\\\1+3=4\\\\|PQ|=|-1-(-3)|=|-1+3|=|2|=2\\\\1\times\frac{2}{4}=1\times\frac{1}{2}=\frac{1}{2}\\\\x-coordinate\ of\ Q:x=-3+\frac{1}{2}=-2\frac{1}{2}$