Question

2) Find the midpoints of the line segment with endpoints ( 4 12, 5/2) and ( 10/7, 4/7)3) suppose you have lunch with five friends and the total check (with tax and tips) is $252. how much should each person pay if you split the check evenly.

Answer 1

Mid point of the line segment joining two points, (a,b) and (c,d) is,

$(\frac{a+c}{2},\frac{b+d}{2})_{}$

Here the points are,

$(4\frac{1}{2},\text{ }\frac{5}{2}),\text{ (}\frac{10}{7},\frac{4}{7})$

Therefore, the mid point is,

$(\frac{\frac{9}{2}+\frac{10}{7}}{2},\frac{\frac{5}{2}+\frac{4}{7}}{2})$$(\frac{63+20}{28},\frac{35+8}{28})$$(\frac{83}{28},\frac{43}{28})$