Question

How do you find the midpoint of the line segment joining Q(3,9), P(-1.5)?

Answer 1

See the entire process below:

Explanation:

The formula to find the mid-point of a line segment give the two end points is:

`M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)`

Where `M` is the midpoint and the given points are: (`color(red)((x_1, y_1))`) and (`color(blue)((x_2, y_2))`)

Substituting the values from the points in the problem gives:

`M = ((color(red)(3) + color(blue)(-1))/2 , (color(red)(9) + color(blue)(5))/2)`

`M = (2/2 , 14/2)`

#M = (1, 7)