SOLUTION: Find the midpoint of the line segment PQ for P(2, -2), Q(3, 4) If M (6, 1) is the midpoint of segment PQ and the coordinates of Q are (2, -2), find the coordinates of P. 3

Question 73995: Find the midpoint of the line segment PQ for P(2, -2), Q(3, 4)
If M (6, 1) is the midpoint of segment PQ and the coordinates of Q are (2, -2), find the coordinates of P.
3) Verify that (-1, 3) is a solution to y = (-1/2)x + (5/2)

4)Solve the inequality and write the solution set in interval notation:
5(2+X)>-4(X+3)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the midpoint of the line segment PQ for P(2, -2), Q(3, 4)
x-coordinate of midpoint is (2+3)/2 = 2.5
This is the average of the two "x" values.
y-coordinate of midpoint is (-2+4)/2=1
This is the average of the "y" values.
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If M (6, 1) is the midpoint of segment PQ and the coordinates of Q are (2, -2), find the coordinates of P.
x=coordinate of P is x where (x+2)/2 = 6; x+2=12; x=10
y=coordinate of P is y where (y-2)/2=1 ; y-2=2; y=4
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3) Verify that (-1, 3) is a solution to y = (-1/2)x + (5/2)
3 =(-1/2)(-1)+(5/2)
3 = 6/2
3 = 3
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4)Solve the inequality and write the solution set in interval notation:
5(2+X)>-4(X+3)
10+5x >= -4x-12
9x >= -22
x >= -22/9
Interval notation: (-22/9, inf)
===============
Cheers,
Stan H.

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