Regarding the points on the given line, it is found that:
a) The midpoint is: (3,4.5).
b) The coordinates of C are: C(4,5).
c) The coordinates of the other end of the line are: (4,3).
<h3>Midpoint</h3>
The midpoint between two points is given by the mean of the coordinates of these points.
In this problem, the coordinates of points A and B are given as follows:
A(0,3) and B(6,6).
Hence the coordinates of the midpoint are given as follows:
- x-coordinate: (0 + 6)/2 = 3.
- y-coordinate: (3 + 6)/2 = 4.5.
As for point C, we have that C is closer to B then A, hence:
- The x-coordinate is greater than 3.
- The y-coordinate is greater than 4.5.
The coordinates are integers, hence it is given as follows:
C(4,5).
As for line AB, it is found that:
- The other line is parallel, hence the slope is also of 0.5. (change in y divided by change in x is of 0.5).
- For the x-coordinate, on line AB, they change by 6, hence in the new line they increase by 2/3 x 6 = 4.
- For the y-coordinate, on line AB, they change by 3, hence in the new line they increase by 2/3 x 3 = 3.
Thus the other endpoint is:
(4,3).
More can be learned about the mid-point of a line at brainly.com/question/18315903
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