Question

1. midpoint of xy is (-6,5) and y is (-2,-1). what are the coordinates of x?

Explanation:

Step1: Recall midpoint formula

The midpoint formula is $M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of $X$ be $(x,y)$ and mid - point $M(-6,5)$ and $Y(-2,-1)$.

Step2: Solve for $x$ - coordinate of $X$

Using the $x$ - part of the midpoint formula: $\frac{x+( - 2)}{2}=-6$. Multiply both sides by $2$: $x - 2=-12$. Add $2$ to both sides: $x=-10$.

Step3: Solve for $y$ - coordinate of $X$

Using the $y$ - part of the midpoint formula: $\frac{y+( - 1)}{2}=5$. Multiply both sides by $2$: $y - 1 = 10$. Add $1$ to both sides: $y = 11$.

Answer:

The coordinates of $X$ are $(-10,11)$