Question

T is the midpoint of RS .The coordinate of T is 4 3/7 .The coordinate of S is 5 2/3 . Find the coordinate of R. Please show your work. answer

Answer 1

Answer:

$(3,\frac{4}{21}})$.

Step-by-step explanation:

Let $R=(x,y), T=(4,\frac{3}{7}), S=(5,\frac{2}{3})$. According to the midpoint formula, we have that $4=\frac{x+5}{2}$ and $\frac{3}{7}=\frac{y+\frac{2}{3}}{2}$.

We must solve these equations for x and y:

$4=\frac{x+5}{2}$ → $8=x+5$ → $x=3$

$\frac{3}{7}=\frac{y+\frac{2}{3}}{2}$ → $\frac{6}{7}=y+\frac{2}{3}$ → $y=\frac{6}{7}-\frac{2}{3}$ → $y=\frac{4}{21}$.

Then $R=(x,y)=(3,\frac{4}{21}})$.