12. Find the midpoint ofsegment JK shown in thegraph. What is the x-value ofthe midpoint?
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SOLUTION
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
[tex]\begin{gathered} (x_1,y_1)=(-4,4) \\ (x_2,y_2)=(5,-5) \end{gathered}[/tex]Step 2: Write the formula for finding the midpoint of segment JK
[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1_{}+y_2}{2})[/tex]Step 3: Calculate the midpoints by substituting the values in step 1 into the formula in step 2
[tex]\begin{gathered} (x_m,y_m)=(\frac{-4+5}{2},\frac{4+(-5)}{2}) \\ (x_m,y_m)=(\frac{1}{2},-\frac{1}{2}) \end{gathered}[/tex]Hence, the x-value of the midpoint will be the x-coordinate which is 1/2