Final answer:
The coordinates of the point B(3, 6) are (3, 6). The coordinates of the point that is of the way from A(-7,-4) to B(3, 6) are (-4, 1). The midpoint formula is used to find the coordinates of the midpoint between two given points.
Step-by-step explanation:
The coordinates of the point B(3, 6) are (3, 6).
To find the point that is of the way from A(-7,-4) to B(3, 6), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:
- M(xmidpoint, ymidpoint) = (x1 + x2) / 2, (y1 + y2) / 2
Using this formula, we can calculate the midpoint between A(-7,-4) and B(3, 6) as follows:
- M(xmidpoint, ymidpoint) = ((-7 + 3) / 2, (-4 + 6) / 2)
- M(xmidpoint, ymidpoint) = (-4, 1)
The coordinates of the point that is of the way from A(-7,-4) to B(3, 6) are (-4, 1).
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