Question

1. find the coordinates of j if k(-5, 10) is the midpoint of jl and l has coordinates of (-8, 6).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $J(x_1,y_1)$ and $L(x_2,y_2)$ is $K(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. We know $K(-5,10)$ and $L(-8,6)$. Let the coordinates of $J$ be $(x,y)$.

Step2: Solve for $x$

We have $\frac{x+( - 8)}{2}=-5$. Multiply both sides by 2: $x - 8=-10$. Then add 8 to both sides: $x=-10 + 8=-2$.

Step3: Solve for $y$

We have $\frac{y + 6}{2}=10$. Multiply both sides by 2: $y+6 = 20$. Then subtract 6 from both sides: $y=20 - 6 = 14$.

Answer:

$(-2,14)$