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kl has endpoints at k(12.5, 15.1) and l(5.7, 4.6). find the midpoint m …

Question

kl has endpoints at k(12.5, 15.1) and l(5.7, 4.6). find the midpoint m of kl. write the coordinates as decimals or integers. m = ( i )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=12.5,y_1 = 15.1,x_2=5.7,y_2 = 4.6$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{12.5 + 5.7}{2}=\frac{18.2}{2}=9.1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{15.1+4.6}{2}=\frac{19.7}{2}=9.85$.

Answer:

$(9.1,9.85)$