How do you find the midpoint of (-4,-5) and (1,-2)?

2 Answers
Jim G.
Mar 18, 2018

(-3/2,-7/2)

Explanation:

"the coordinates of the midpoint are the average of"
"the coordinates of the endpoints"

"midpoint "=[1/2(-4+1),1/2(-5-2)]

color(white)(xxxxxxx)=(-3/2,-7/2)

smendyka
Mar 18, 2018

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), color(red)(y_1)) and (color(blue)(x_2), color(blue)(y_2))

Substituting the values from the points in the problem gives:

M = ((color(red)(-4) + color(blue)(1))/2 , (color(red)(-5) + color(blue)(-2))/2)

M = (-3/2 , -7/2)

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