Question

Find the coordinates of the midpoint of PQ with endpoints P(−5, 1) and Q(−2, −5).

Answer 1

`\displaystyle (-(7)/(2), -2 )`

Explanation:

We can use the midpoint formula to help us solve. We will substitute the values of x and y, and then simplify by adding and subtracting, then we will divide.

`\displaystyle ((x_(1)+x_(2) )/(2), (y_(1)+y_(2) )/(2) )`

`\displaystyle ((-5+-2)/(2), (1+-5)/(2) )`

`\displaystyle ((-5-2)/(2), (1-5)/(2) )`

`\displaystyle ((-7)/(2), (-4)/(2) )`

`\displaystyle (-(7)/(2), -2 )`