Find the value of p such that (–6, 3) is the midpoint of the points (-9, -1) and (–3, p).
To find the value of p such that (-6, 3) is the midpoint of (-9, -1) and (-3, p), we need to 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.
Let's calculate the average of the x-coordinates first:
(-9 + -3)/2 = -12/2 = -6
So, the x-coordinate of the midpoint is -6.
Now, let's calculate the average of the y-coordinates:
(-1 + p)/2 = 3
-1 + p = 6
p = 6 + 1
p = 7
Hence, the value of p that makes (-6, 3) the midpoint of (-9, -1) and (-3, p) is p = 7.