Question

P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.

(3 marks)

please write all the steps, summer school is rlly bad I need help. ​

Answer 1

(-2, -2)

Explanation:

Midpoint Formula:
`((x_1+x_2)/(2) ,(y_1+y_2)/(2) )`

Simply plug in our known variables and set equation equal:

3 = (8 + x)/2

6 = 8 + x

x = -2

1 = (4 + y)/2

2 = 4 + y

y = -2