Identify the coordinates of the midpoint of PQ⎯⎯⎯⎯⎯ with endpoints P(1,−1) and Q(7,−3).
can someone confirm my answer: 8,-4
No, your answer is correct. 8, -4
To find the coordinates of the midpoint of a line segment with endpoints P(x1, y1) and Q(x2, y2), you can use the midpoint formula:
Midpoint = ((x1 + x2)/2 , (y1 + y2)/2)
Let's plug in the given coordinates of P and Q:
Midpoint = ((1 + 7)/2 , (-1 + -3)/2)
= (8/2 , -4/2)
= (4 , -2)
So, the correct answer is (4, -2), not (8, -4).
To find the coordinates of the midpoint of a line segment, you can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
Given the endpoints P(1,−1) and Q(7,−3), we can apply the midpoint formula to find the midpoint coordinates.
The x-coordinate of the midpoint is the average of the x-coordinates of P and Q: (1 + 7) / 2 = 8 / 2 = 4.
The y-coordinate of the midpoint is the average of the y-coordinates of P and Q: (−1 + −3) / 2 = −4 / 2 = -2.
Therefore, the midpoint of PQ⎯⎯⎯⎯⎯ has the coordinates (4, -2).
So, your answer of (8, -4) is incorrect. The correct midpoint coordinates are (4, -2).
M = (P+Q)/2 = ((1+7)/2 , (-1-3)/2) = (4,-2)
If the endpoint is at x=7, how in the world could the midpoint be at x=8?
Always do a sanity check when you think you have an answer.
You just forgot to divide by 2.