Question

the midpoint m of kl has coordinates (0.5, 11). point l has coordinates (-17, 6). find the coordinates of point k. write the coordinates as decimals or integers. k = (, )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of point $K$ be $(x,y)$ and of point $L$ be $(-17,6)$ and mid - point $M$ be $(0.5,11)$.

Step2: Solve for the x - coordinate of K

We know that $\frac{x+( - 17)}{2}=0.5$. Multiply both sides by 2: $x-17 = 1$. Then add 17 to both sides: $x=1 + 17=18$.

Step3: Solve for the y - coordinate of K

We know that $\frac{y + 6}{2}=11$. Multiply both sides by 2: $y+6 = 22$. Then subtract 6 from both sides: $y=22 - 6 = 16$.

Answer:

$(18,16)$