9. What is the slope of the line that goes through the points (−3, 8) and (0, 23)?
2 answers:
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For a better understanding of the solution provided here please find the diagram attached.
Please note that in coordinate geometry, the coordinates of the midpoint of a line segment is always the average of the coordinates of the endpoints of that line segment.
Thus, if, for example, the end coordinates of a line segment are and
then the coordinates of the midpoint of this line segment will be the average of the coordinates of the two endpoints and thus, it will be:
Thus for our question the endpoints are and
and hence the midpoint will be:
Thus, Option C is the correct option.
