Question

find the coordinates of the missing endpoint if b is the midpoint of $overline{ac}$. c(-5,4), b(-2,5) a( )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let $A=(x,y)$, $C=(-5,4)$ and $B=(-2,5)$.

Step2: Solve for x - coordinate of A

We know that $\frac{x+( - 5)}{2}=-2$. Cross - multiply: $x - 5=-4$. Then add 5 to both sides: $x=-4 + 5=1$.

Step3: Solve for y - coordinate of A

We know that $\frac{y + 4}{2}=5$. Cross - multiply: $y+4 = 10$. Then subtract 4 from both sides: $y=10 - 4=6$.

Answer:

$(1,6)$