Answer:
(3,6)
Step-by-step explanation:
since T divides the line into two parts, with one part two times as large as the small part, you can look at it as dividing the line into three small parts. let me know if you need more explanation on that.
This makes T be at 2/3 down the line. because 2/3 is twice 1/3. This means the x and y coordinates are 2/3 between the x values of the two points, and the y values of the two points.
Another way of saying this is for x, it goes from 1 to 4, which is a length of 3. what is 2/3 of 3? 2, so T's x value is at 2. Similarly for y -2 to 10 is 12 spaces and 2/3 along that is 8, so the y value is 8. Again, let me know if you need more of an explanation.
The coordinates of point T which divide the line segment joining (1,-2) and (4,10)in the ratio of 2:1 is (3,6).
A line segment is a part of line which joins two points on a surface. It is not an extended line.
The coordinates of point dividing a line segment in some ratio are [(mx2+nx1)/(m+ n)] , [(my2+ny1)/(m +n)] where (x1,y1) (x2,y2) are the coordinates of ending points of line segments and m ,n is the ratio.
We have to just put the values in the formula:
(x,y)=[(2*4+1*1)/2+1],[(2*10-2)/2+1]
=(9/3,18/3)
=(3,6)
Hence the coordinates of point T which divides the line segment PQ in 2:1 is (3:6).
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