### Video Transcript

Given point 𝐴 has coordinates

four, eight and 𝐵 has coordinates six, six, what are the coordinates of the

midpoint of line segment 𝐴𝐵?

We can solve this problem

graphically or by using the midpoint formula. And it is this method we’ll use

first. We recall that if points 𝐴 and 𝐵

have coordinates 𝑥 one, 𝑦 one and 𝑥 two, 𝑦 two, respectively, then the midpoint

has coordinates 𝑥 one plus 𝑥 two over two, 𝑦 one plus 𝑦 two over two. In this question, point 𝐴 has

coordinates four, eight, and point 𝐵 has coordinates six, six. This means that the midpoint of the

line segment 𝐴𝐵 has 𝑥-coordinate equal to four plus six over two and

𝑦-coordinate equal to eight plus six over two. Adding four and six gives us

10. And dividing this by two gives us

five. Likewise, eight plus six is equal

to 14. And dividing this by two gives us

seven. The midpoint of points 𝐴 and 𝐵

has coordinates five, seven.

As already mentioned, we could also

represent this graphically on the two-dimensional coordinate plane. The midpoint of line segment 𝐴𝐵

lies halfway between points 𝐴 and 𝐵 as shown. And it is clear from the graph that

this lies at the point five, seven.