Find the coordinate of the point which divide the line segment joining the points(-4,0) and (0,6) in four equa

Answer 1

Your question is unclear.
If you mean you want to divide the line segment into four equal parts then:

Let point one be: pt.(-4,0)
Let point five be: pt.(0,6)

Mid. point = [(x2 + x1)/2 , (y2 + y1)/2]
Mid. point = [(0 + -4)/2 , (6 + 0)/2]
Mid. point = [(-4)/2 , (6)/2]
Mid. point = (-2, 3)

Now divide the line segment again between the first pt. and mid. point and divide it between the mid. point and the end point.

Let point one be: pt.(-4,0)
Mid. point = (-2, 3)

Point 2 = [(x2 + x1)/2 , (y2 + y1)/2]
Point 2 = [(-2 + -4)/2 , (3 + 0)/2]
Point 2 = [(-6)/2 , (3)/2]
Point 2 = (-3, 1∙5)


Let point five be: pt.(0,6)
Mid. point = (-2, 3)

Point 4 = [(x2 + x1)/2 , (y2 + y1)/2]
Point 4 = [(0 + -2)/2 , (6 + 3)/2]
Point 4 = [(-2)/2 , (9)/2]
Point 4 = (-1, 4∙5)

Answer:
Point 1 = pt.(-4,0) (given).
Point 2 = pt.(-3, 1∙5)
Mid. point = pt.(-2, 3)
Point 4 = pt.(-1, 4∙5)
Point 5 = pt.(0,6) (given).

Answer 2

There will 3 points and they are:

(-3, 3/2) (-2, 3) (-1, 9/2)

First take the difference between the x co-ordinates of (-4,0) and (0,6).

0-(-4) = 4 and 4/4 = 1

So the x-co-ordinates of the 3 points will be

-4+1 = -3, then -2 and -1

The difference between the y- co-ordinates = 6-0 =6

6/4 = 3/2 so the y-co-ordinates of the 3 points will be

3/2, 3 and 9/2

Answer 3

I don't there can be only one point that can divide the line into 4 parts.First find the mid-point of these points with mid-point formula.Then find the mid-points of the two segments formed.