MATHEMATICS MIDDLE SCHOOL

Janie was given (-2,3) as the endpoint of a line segment and (1,0) as its midpoint. Which ordered pair should Janie choose as the other endpoint?A. (-1/2, 3/2)
B. (1/2, 1/2)
C. (-5,6)
D. (4,-3)

Answers

Answer 1
Answer:

Answer:

The other endpoint

(x_(2) , y_(2)) is (4,-3)

Step-by-step explanation:

Given

Point 1 (-2,3)

Midpoint = (1,0)

We're to calculate the other end point.

To solve this, we'll make use of the formula of midpoints of line

Given that two lines of coordinates P(x_(1) ,y_(1) ) and Q(x_(2) ,y_(2) )

(m_(1),m_(2)) = (((x_(1) + x_(2) ))/(2) ,((y_(1) + y_(2) ))/(2))\nWhere\nm_(1) = ((x_(1) + x_(2) ))/(2) \nand\nm_(2) = ((y_(1) + y_(2) ))/(2))\n

From the question, we have

m_(1) = 1\nm_(2) = 0\nx_(1) = -2\ny_(1) = 3\n

Calculating x_(2)...

From m_(1) = ((x_(1) + x_(2) ))/(2)

By Substitution, we have

1 = (-2+x_(2) )/(2) \n2 = -2+x_(2)\n2 + 2 = x_(2)\n x_(2) = 4

Calculating y_(2)...

From m_(2) = ((y_(1) + y_(2) ))/(2)

By Substitution, we have

0 = (3+y_(2) )/(2) \n0 = 3+y_(2)\n0 - 3 = y_(2)\n y_(2) = -3

Hence, the other endpoint

(x_(2) , y_(2)) is (4,-3)
Answer 2
Answer: (-2+x)/(2)=1∧(3+y)/(2) =0⇔x = 4 ∧y = -3
R: D (4, -3)

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Answers

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Answers

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Answers

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