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1 point Esther thinks she understands how to find the midpoint of a segment on a graph. "I always look for the middle of the line segment. But what should I do if the coordinates are not easy to graph?" she asks. Find the midpoint of KL if (2.125) and L(98, 15). *

Respuesta :

[tex]\begin{gathered} \text{ Given two points, on a graph} \\ (x_1,y_1)\text{ and }(x_{2,}y_2)\text{ then the} \end{gathered}[/tex][tex]\begin{gathered} \text{coordinate of the mid-point }(x_m,y_m)\text{ is given by} \\ x_m=\frac{x_1+x_2}{2},y_m=\frac{y_1+y_2}{2} \end{gathered}[/tex]

In this case, we can write out the parameters

[tex]\begin{gathered} x_1=2,_{}y_1=125, \\ x_2=98,y_2=15 \end{gathered}[/tex]

Thus, substitute the coordinates in the mid-point formula and simplify

[tex]\begin{gathered} x_m=\frac{98+2}{2}=\frac{100}{2}=50 \\ y_m=\frac{125+15}{2}=\frac{140}{2}=70 \end{gathered}[/tex]

Hence, the coordinate of the mid-point is (50, 70)

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