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).