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Is the midpoint between points p and q p has coordinates -3 8 while Q has coordinates -7 6. Find the coordinates for k. a) (-5, 7)

b) (-4, 7)
c) (-6, 7)
d) (-5, 6)

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Final answer:

The midpoint between points P (-3, 8) and Q (-7, 6) is found by averaging the x-coordinates and y-coordinates separately, resulting in the coordinates (-5, 7) for the midpoint K.

Step-by-step explanation:

The student is asking how to find the midpoint between two points P and Q on a coordinate plane, where P has coordinates (-3, 8) and Q has coordinates (-7, 6). To find the midpoint (K), you add the x-coordinates of P and Q and divide by 2, and add the y-coordinates of P and Q and divide by 2.

The x-coordinate of the midpoint K is calculated as (-3 + (-7))/2 = -10/2 = -5. The y-coordinate of the midpoint K is calculated as (8 + 6)/2 = 14/2 = 7. Therefore, the coordinates for K are (-5, 7).

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