Question

we have a mid - point at m(15, 8.5). point v is at (16, 2). find the coordinate as decimals or integers.

Explanation:

Step1: Recall mid - point formula

The mid - point formula between 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 $W$ be $(x,y)$. We know $M(15,8.5)$ and $V(16,2)$.

Step2: Solve for $x$ - coordinate

Using the $x$ - coordinate part of the mid - point formula $\frac{x + 16}{2}=15$. Multiply both sides by 2: $x + 16=30$. Then subtract 16 from both sides: $x=30 - 16=14$.

Step3: Solve for $y$ - coordinate

Using the $y$ - coordinate part of the mid - point formula $\frac{y + 2}{2}=8.5$. Multiply both sides by 2: $y + 2 = 17$. Then subtract 2 from both sides: $y=17 - 2 = 15$.

Answer:

$(14,15)$