Question

the point x is the mid - point of wy. find the location of y. location of y:

Explanation:

Step1: Recall mid - point formula

If \(X\) is the mid - point of the line segment \(\overline{WY}\), and the coordinates of \(W\) is \(w=-17\), the coordinates of \(X\) is \(x = - 7\), and the coordinates of \(Y\) is \(y\), then the mid - point formula is \(x=\frac{w + y}{2}\).

Step2: Substitute known values

Substitute \(x=-7\) and \(w = - 17\) into the formula \(-7=\frac{-17 + y}{2}\).

Step3: Solve for \(y\)

Multiply both sides of the equation by 2: \(-7\times2=-17 + y\), so \(-14=-17 + y\). Then add 17 to both sides: \(y=-14 + 17=3\).

Answer:

3