Answer: v = - 9
Step-by-step explanation:
Since two points on the line are given, we use formula for slope.
Let (a,b) and (c,d) be two points on the line, the slope of the line is given by
m=.
Hence, using this we have
-4=
Thus, we have
-4×(-3)=3-v⇒12=3-v⇒12-3=-v⇒v=-9
Given:
Endpoints of a segment are (0,0) and (27,27).
To find:
The points of trisection of the segment.
Solution:
Points of trisection means 2 points between the segment which divide the segment in 3 equal parts.
First point divide the segment in 1:2 and second point divide the segment in 2:1.
Section formula: If a point divides a line segment in m:n, then
Using section formula, the coordinates of first point are
Using section formula, the coordinates of first point are
Therefore, the points of trisection of the segment are (9,9) and (18,18).