What is the point L if L is midpoint of A(3,7) and B(-5, 5).

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The mid point of (x1 , y1) and (x2, y2) can the coordinates [(x1 + x2)/2, (y1 + y2)/2)]

Here, (x1 , y1) = A(3, 7) and (x2, y2) = B(-5 , 5)

Substituting the values we have the coordinates of L which is the mid point of A and B is

[(3 - 5)/2 , (7 + 5)/2)]

=> (-2/2 , 12/2)

=> (-1 , 6)

The coordinates of L are (-1, 6)

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Given the line segment AB such that A(3,7) and B(-5,5)

We need to find the point L such that L is midpoint AB.

We will use the midpoint formula.

We know that if M(Mx, My) is midpoint of AB

==> Then Mx = (Ax+Bx)/2 and My= (Ay+By)/2.

We will subsitute with given points.

==> Lx = (Ax+Bx)/2 = (3-5)/2 = -2/2 = -1

==> Ly= (Ay+By)/2 = (7+5)/2 = 12/2 = 6

Then the point L is (-1,6) such that L is midpoint of AB.

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