Question

Find the midpoint of the line segment with the endpoints (-5,4) and (5,-7)

Answer 1

In order to find the midpoint of the given line segment, use the following expression:

`M((x_1+x_2)/(2),(y_1+y_2)/(2))`

where M is the midpoint and (x1,y1) and (x2,y2) are the coordinates of the end points of the given segment.

In this case, you have:

(x1,y1) = (-5,4)

(x2,y2) = (5,-7)

Replace the previous values of the parameters into the expression above for M:

`M((-5+5)/(2),(4-7)/(2))=M(0,-(3)/(2))`

Hence, th midpoint between the given points is M(0,-3/2)