What are the x- and y- coordinates of point e, which partitions the directed line segment from j to k into a ratio of 1: 4?

To solve this problem, we are given the formulas for our new x and y. To use this formula, we must first establish our points 1 and 2. Since the problem specifically directed the point E which partitions the line segment “from J to K”, therefore

point 1 = point J                = (x1, y1)

point 2 = point K = (x2, y2)

The variables m and n indicates the portion of partition segment JE and EK that takes up from the original segment. Since the ratio is 1:4, then:

JE = m = 1

EK = n = 4

Therefore calculating for x and y using the given formulas:

x = [1 / (1 + 4)] (25 – (-15)) + (-15)

x = -7

y = [1 / (1 + 4)] (15 – (-5)) + (-5)

y = -1

Therefore the coordinates of point E is (-7, -1)

The x- and y- coordinates of point E (-7,-1)

In the coordinates of the two-dimensional plane (xy) there is a position vector.

Two dimensions because the coordinates are only x and y, three dimensions if the coordinates are x, y, and z.

If there is a point P then

You can write P as:

P = xi + yi

where i denotes the unit vector in the x and y directions

While the size of the vector:

and its direction

If a point C divides the line segment AB by the ratio m: n, then the coordinates of point C can be formulated:

Coordinate x :

Coordinate y :

line segment from J to K into a ratio of 1:4, then m = 1 and n = 4

(x1,y1) from point  J= (-15,-5)

(x2,y2) from point  K= (25,15)

So coordinates of point E :

Coordinate x :

x = -7

Coordinate y :

y = -1

Which vector should be negative

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the statements that describe a vector

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the resultant vector

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Keywords: line segment, vector, two-dimensional coordinates , x,y, partitions

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