Question

On the line joining (4, -5) to (-4, -2), find the point which is three-seventh the distance from the first
to the second point.

Urgent help please

Answer 1

Answer:

please refer to the attachment

Answer 2

The coordinates of the required point are (4/7, -26/7).

GIVEN: The line joining (4, -5) to (-4, -2), has a point that is three-seventh the distance from the first to the second point.
TO FIND: Coordinates the point.
SOLUTION:

As we are given in the question,

Let the points be X(4,-5) = (x1,y1) and Y(-4,-2) = (x2,y2)

And the required point that lies in between is O(x,y).

Using the section formula,

x = mx2 + nx1/m+n

x = 3(-4) + 4(4)/3+4

x = -12 + 16/7

x = -4/7

Similarly, using the section formula,

y = my2 + ny1/m+n

y = 3(-2) + 4(-5)/3+4

y = -6 -20/7

y = -26/7

Therefore,

The coordinates of the required point will be O(x,y) = (-4/7, -26/7).

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