Question

st has a midpoint at m(8, 6). point t is at (10, 6). find the coordinates of point s. write the coordinates as decimals or integers. s = ( )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of point $S$ be $(x,y)$ and point $T(10,6)$ and mid - point $M(8,6)$.

Step2: Solve for $x$ - coordinate

We know that $\frac{x + 10}{2}=8$. Multiply both sides by 2: $x + 10=16$. Then subtract 10 from both sides: $x=16 - 10=6$.

Step3: Solve for $y$ - coordinate

We know that $\frac{y + 6}{2}=6$. Multiply both sides by 2: $y+6 = 12$. Then subtract 6 from both sides: $y=12 - 6=6$.

Answer:

$(6,6)$