Question

k is the midpoint of $overline{jl}$. what are the coordinates of l? k(7,5) j(11,4) a (3,6) b (9,4) c (2,0) d (9,6)

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 the coordinates of $L$ be $(x,y)$, $J(11,4)$ and $K(7,5)$.

Step2: Solve for $x$

We know that $\frac{11 + x}{2}=7$. Cross - multiply: $11 + x=14$. Then $x=14 - 11=3$.

Step3: Solve for $y$

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

Answer:

A. $(3,6)$