QuestionThe midpoint $M$ of $\overline{Q R}$ has coordinates $(3.8,11.7)$. Point $R$ has coordinates (3.5, 8.9). Find the coordinates of point $Q$.
Write the coordinates as decimals or integers. $Q=(\|$ $\square$ ,$\square$

Studdy Solution
Solve for the $y$-coordinate of point $Q$.
From the equation for the $y$-coordinate: $$11.7 = \frac{y_Q + 8.9}{2}$$ Multiply both sides by 2 to isolate $y_Q + 8.9$: $$23.4 = y_Q + 8.9$$ Subtract 8.9 from both sides to solve for $y_Q$: $$y_Q = 23.4 - 8.9$$ $$y_Q = 14.5$$
The coordinates of point $Q$ are:
$$Q = (4.1, 14.5)$$