Question

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). *

Answer 1

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

In this case, we can write out the parameters

`\begin{gathered} x_1=2,_{}y_1=125, \\ x_2=98,y_2=15 \end{gathered}`

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

`\begin{gathered} x_m=(98+2)/(2)=(100)/(2)=50 \\ y_m=(125+15)/(2)=(140)/(2)=70 \end{gathered}`

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