Question

How do you find the midpoint of (-4,0), (0,14)?

Answer 1

See a solution 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)(-4) + color(blue)(0))/2 , (color(red)(0) + color(blue)(14))/2)`

`M = (-4/2 , 14/2)`

`M = (-2 , 7)`

Answer 2

Difference between y values, difference between x values

Explanation:

Your function is starting point (-4, 0) and ending point is (0, 14)

Meaning change of x is from -4 to 0 (and half of it is -2)
Meaning change of y is from 0 to 14 (and half of it is 7)

Midpoint of your x is -2
Midpoint of your y is 7.