Midpoint formula | Analytic geometry (article) | Khan Academy (2024)

Walk through writing a general formula for the midpoint between two points.

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  • Alexene Faith S. Tomate

    8 years agoPosted 8 years ago. Direct link to Alexene Faith S. Tomate's post “Good Day! What if the giv...”

    Good Day! What if the given are the other endpoint and the midpoint? How do you get the coordinates of the other endpoint?

    (38 votes)

    • Stephen

      4 years agoPosted 4 years ago. Direct link to Stephen's post “I believe you would simpl...”

      Midpoint formula | Analytic geometry (article) | Khan Academy (4)

      I believe you would simply find the differences in x and y from the midpoint to the one endpoint, multiply them by two (giving yourself the two side lengths of a right triangle, if you choose to think about your two points in that way), and add these displacements to your given endpoint.

      (23 votes)

  • Jade Slowik

    8 years agoPosted 8 years ago. Direct link to Jade Slowik's post “How would you solve a pro...”

    How would you solve a problem in which you do not know point B but are given the midpoint and point A?

    (15 votes)

  • Humble Child Pööťý

    7 years agoPosted 7 years ago. Direct link to Humble Child Pööťý's post “the line y=x and the curv...”

    the line y=x and the curve y=4x-x^2 intersect at the point p and q. find the co-ordinates of p and q

    (5 votes)

    • David Severin

      7 years agoPosted 7 years ago. Direct link to David Severin's post “Substitute for y to get x...”

      Substitute for y to get x = 4x - x^2 then move everything to one side, factor, and solve. Try it and if you still need help, ask again.

      (9 votes)

  • Jonathan Huang

    8 years agoPosted 8 years ago. Direct link to Jonathan Huang's post “Why do we add instead of ...”

    Why do we add instead of subtract the numbers

    (5 votes)

    • Kim Seidel

      8 years agoPosted 8 years ago. Direct link to Kim Seidel's post “You basically are averagi...”

      You basically are averaging the X and Y values.
      Consider if you had a grade of 60 and a grade of 100, how would you find the grade that is halfway between them? You would average them. The Midpoint Formula does the same thing.
      If one X-value is at 2 and the other X-value is at 8, to find the X-value halfway between them, you add 2+8 and divide by 2 = 5.
      Your would repeat the process for the Y-values to find the Y-coordinate of the midpoint.

      (8 votes)

  • Alexene Faith S. Tomate

    8 years agoPosted 8 years ago. Direct link to Alexene Faith S. Tomate's post “Let's say for example, po...”

    Let's say for example, points A and B are divided into four points. How do you get the coordinate of each point?

    (4 votes)

  • baskarsandra

    8 years agoPosted 8 years ago. Direct link to baskarsandra's post “do u guys think this is e...”

    do u guys think this is easy? is this the easiest thing in geometry, im trying to learn b4 i go to school.

    (1 vote)

    • Kendra Wilson

      8 years agoPosted 8 years ago. Direct link to Kendra Wilson's post “I think that any math tha...”

      I think that any math that involves a formula is easy.

      (9 votes)

  • XxGl1tchxX

    10 months agoPosted 10 months ago. Direct link to XxGl1tchxX's post “It doesn't tell us how to...”

    It doesn't tell us how to solve for when you have one point and the midpoint... what do you do for that? Because it only shows solving for the midpoint, but what if you're solving for the other point on the line?

    (5 votes)

    • Derrick

      10 months agoPosted 10 months ago. Direct link to Derrick's post “Copy from Kim Seidel's an...”

      Copy from Kim Seidel's answer:

      Find the change in Y and change in X between that 2 points that you have. Your point b will be on the opposite side of the midpoint from point a. And it will have the same change in Y and change in X. For example:

      If a = (2,5) and the midpoint = (-1,3):
      Change in Y = 5-3 = 2
      Change in X = 2-(-1) = 3
      Point a is to the right of the midpoint. So point b must be to the left. So, we move in the opposite direction from the midpoint. To go left, we need to change the values to negatives.
      y-value of b = 3-2 = 1
      x-value of b = -1-3 = -4
      b = (-4,1)

      (3 votes)

  • 26jamiras614

    a year agoPosted a year ago. Direct link to 26jamiras614's post “I am so confused but okay”

    I am so confused but okay

    (4 votes)

    • Kim Seidel

      a year agoPosted a year ago. Direct link to Kim Seidel's post “The midpoint formula is b...”

      The midpoint formula is basically an average. You add the two x-values and divide by 2. You add the two y-values and divide by 2. This gives you the coordinates of the midpoint (the point located half-way between the original two points).

      (3 votes)

  • mrsdanielgray

    10 months agoPosted 10 months ago. Direct link to mrsdanielgray's post “Quite simple to me now.”

    Quite simple to me now.

    (4 votes)

  • chloe johnson

    a year agoPosted a year ago. Direct link to chloe johnson's post “Hi, i was wondering were ...”

    Hi, i was wondering were i could find "how to find one of the endpoints given one endpoint and the midpoint"

    (4 votes)

    • Aristotle

      a year agoPosted a year ago. Direct link to Aristotle's post “Look at each pair of coor...”

      Look at each pair of coordinates (x, y) and then the other pair of coordinates, 2nd pair(x,y).

      now add both the x's and divide by two. (Example: x1+x2/2 = x-midpoint coordinate)

      take your answer for that and write it in the first column (here, )

      now add the y's and divide by two. (Example: y1+y2/2 = y-midpoint coordinate)

      now take that answer and write it in the second column( ,here)

      Finally, put the two together and you should have your MIDPOINT. Woo! (x-midpoint, y-midpoint) = the midpoint between the two coordinates you were given in the problem to solve.
      this should help!

      (1 vote)

Midpoint formula | Analytic geometry (article) | Khan Academy (2024)
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