Question

If the coordinates of r are (4, 7) and the midpoint of RS is (0, 5 ), what are the coordinates of s?

Answer 1

To solve this problem, we recall that the formula for the coordinates of the midpoint between (x₁,y₁), and (x₂,y₂) is:

`\begin{gathered} x=(x_1+x_2)/(2), \\ y=(y_1+y_2)/(2). \end{gathered}`

Substituting the given coordinates for the midpoint and one of the terminal points, we get:

`\begin{gathered} 0=(4+s_x)/(2), \\ 5=(7+s_y)/(2). \end{gathered}`

Solving the above equations for s_x, and s_y, we get:

`\begin{gathered} s_x=0*2-4, \\ s_y=5*2-7. \end{gathered}`

Finally, we get that the coordinates of s are:

`(-4,3).`

Answer:

`(-4,3).`