Find the M is the midpoint of the line segment PQ, what is the coordinates of point Q?
P (4, 5), M (-2, -3)
To find the coordinates of point Q when the midpoint M is given, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points P(x1, y1) and Q(x2, y2) are given by M((x1 + x2)/2, (y1 + y2)/2).
In this case, we are given that M is the midpoint between P(4, 5) and Q(x2, y2), where M(-2, -3). Using the midpoint formula, we can set up the following equations:
(-2) = (4 + x2)/2 --> dividing both sides by 2
-4 = 4 + x2 --> subtracting 4 from both sides
-8 = x2
And,
(-3) = (5 + y2)/2 --> dividing both sides by 2
-6 = 5 + y2 --> subtracting 5 from both sides
-11 = y2
Therefore, the coordinates of point Q are (-8, -11).
For P(a,b) and Q(c,d)
the midpoint M is ( (a+c)/2 , (b+d)/2 )
apply this to your problem