What is the point L if the point P(2,-1) is the midpoint of TL and it is given that T is (-3,-7).

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The point P(2 , -1) is the mid point of TL where T is (-3, -7)

The mid-point of two points ( x1, y1) and (x2, y2) is given by [(x1 + x2)/2 , (y1 + y2)/2]

Let L be (x , y)

Here we have 2 = (x - 3)/2 and -1 = (y - 7)/2

=> 4 = x - 3 and -2 = y - 7

=> x = 7 and y = 5

The point L has the coordinates (7, 5)

hala718's profile pic

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

Posted on

Given the line segment TL such that T(-3,-7)

Given that P is midpoints of TL such that P(2,-1).

We need to find the coordinates of the point L.

Let us assume that L (x,y).

We know that:

Px = ( Lx+Tx)/2

==> 2 = (-3+Lx) /2

==> Lx = 4 + 3 = 7

Also, we know that:

Py = ( Ly+Ty)/2

==> -1 = (-7+Ly)/2

==> Ly = -2 + 7 = 5

Then the coordinates of the point L is ( 7, 5)

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