QuestionFind the coordinates of point if the midpoint and point are given.
Studdy Solution
STEP 1
Assumptions1. The midpoint of a line segment with endpoints and is given by the formula .
. The coordinates of the midpoint are .
3. The coordinates of point are .
4. We are looking for the coordinates of point .
STEP 2
We can use the midpoint formula to set up two equations, one for the x-coordinate and one for the y-coordinate.
For the x-coordinateFor the y-coordinate
STEP 3
Now, we can solve each equation for the unknowns and .
For the x-coordinateMultiply both sides by2
STEP 4
Subtract7 from both sides to solve for
STEP 5
Calculate the value of
STEP 6
Now, solve the equation for the y-coordinateMultiply both sides by2
STEP 7
Subtract3 from both sides to solve for
STEP 8
Calculate the value of The coordinates of point are .
Was this helpful?