Question

12. Find the midpoint ofsegment JK shown in thegraph. What is the x-value ofthe midpoint?

Answer 1

Given the question, the following are the solution steps to find the midpoint of the segment JK

Step 1: Write the points of the line

`\begin{gathered} (x_1,y_1)=(-4,4) \\ (x_2,y_2)=(5,-5) \end{gathered}`

Step 2: Write the formula for finding the midpoint of segment JK

`(x_m,y_m)=((x_1+x_2)/(2),\frac{y_1_{}+y_2}{2})`

Step 3: Calculate the midpoints by substituting the values in step 1 into the formula in step 2

`\begin{gathered} (x_m,y_m)=((-4+5)/(2),(4+(-5))/(2)) \\ (x_m,y_m)=((1)/(2),-(1)/(2)) \end{gathered}`

Hence, the x-value of the midpoint will be the x-coordinate which is 1/2