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

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Answer 1 · 2017-05-17T13:11:45

See a solution process below:

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 · 2017-05-17T13:12:45

Difference between y values, difference between x values

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.