Finding a Formula, help please !

posted by .

Does anyone know the formula to find any point between two other given points in a line?

Please, and thank you!

The mindpoint formula

xm= _(x1 + x2) /2

ym = (y1 + y2) /2

This give the midpoint (xm, ym) between the points x1,y1 and x2,y2


Thanks for the tip, but I was wondering if there's a formula for any point, not just the midpoint...

Thank you again!

Let P(x,y) be a point between A(x1,y1) and B(x2,y2) so that AP:PB = m:n then

P(x,y)= ((n*(x1,y1) + m*(x2,y2))/(m+n) in vector terminology or

x = ((n*x1 + m*x2))/(m+n)
y = ((n*y1 + m*y2))/(m+n)

hope this helps

Test it with A(7,14) and B(14,21) in the ratio of 5:2

then P is (12,19) and
AP = 5root2 and PB=2roots2 which is 5:2

oh, thank you!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. help!

    Can you please give me one of them so I cansolve for the other one?
  2. Geometrical Formula Help

    Hi! Can anyone please send me a link or show me how to find a formula that will find any point between two other points?
  3. pre algebra

    write an equation for the line through the given points or through the given point with the given slope (5,7),(6,8) (1,2),(3,8) (0,5),(-3,2) (8,11),(6,16) For each of them, use the standard formula (y- y1) = [(y2-y1)/x2-x1)]*(x-x1) …
  4. Algebra

    I have two problems that I am not sure about how to work out. 1. The distance traveled by a falling object is given by the formula d=4.9t^2, where d is in meters and t is in seconds. Solve the formula for t. 2.The volume of a right …
  5. ALGEBRA

    I have two problems that I am not sure about how to work out. 1. The distance traveled by a falling object is given by the formula d=4.9t^2, where d is in meters and t is in seconds. Solve the formula for t. 2.The volume of a right …
  6. algebra

    find the value of y so that the line passing through the two points has the given slope. 1. (6,y), (3,3). m=2/3 2. (8,y), (2,-3). m=1/2 I know the formula: y2-y1/m2-m1 and I've been trying to do this for a long time now, but I still …
  7. Math...Please help I need this done by 6:00

    This was the question: Explain why the formula for determining slope using the coordinates of two points does not apply to vertical lines. The formula for determining a slope using two points does not apply to vertical lines simply …
  8. algebra

    Please help! Does this question have a formula, if so how can I answer this question without the formula?
  9. Geometry, Help

    1. Reasoning How does the Distance Formula ensure that the distance between two different points is positive?
  10. Math HELP PLEASE :)

    need help don't undertsand the problem i tried the point slope formula but wasn't working out Find the x and y intercept of the line that passes thorugh the given points. (-6,2) and (-3,4)

More Similar Questions