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The line segment AB has the endpoints (-21, -7) and (-6,3) Point C are partitions the line at a ratio of 4;1 What are the coordinates of point C?

Respuesta :

MrRoyal

The coordinates of point C are (-9, 1)

How to determine the coordinates of point C?

The points are given as:

A = (-21, -7)

B = (-6, 3)

m : n = 4 : 1

The coordinates of point C is calculated as:

[tex]C = \frac{1}{m+n} *(mx_2 + nx_1, my_2+ ny_1)[/tex]

So, we have:

[tex]C = \frac{1}{4+1} *(4 * -6 + 1 * -21, 4 * 3+ 1 * -7)[/tex]

This gives

[tex]C = \frac{1}{5} *(-45, 5)[/tex]

This gives

C = (-9, 1)

Hence, the coordinates of point C are (-9, 1)

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