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Given the points A(-2,-1) and B(-6,5), find the value of the y-coordinate of point C which is 23 from point A to point B.

User Ajwhiteway
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8.5k points

1 Answer

1 vote

Given:

Points A(-2,-1) and B(-6,5).

Point C which is 2/3 from point A to point B.

To find:

The y-coordinate of point C.

Solution:

Let the coordinates of point C are (a,b).

Point C which is 2/3 from point A to point B.

AC:AB = 2:3

AC:CB = AC:(AB-AC) = 2:(3-2) = 2:1

Section formula: If a point divides the line segment in m:n, then then


Point=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)

Point C divides AB in 2:1, soby section formula


C=\left((2(-6)+1(-2))/(2+1),(2(5)+1(-1))/(2+1)\right)


C=\left((-12-2)/(3),(10-1)/(3)\right)


C=\left((-14)/(3),(9)/(3)\right)


C=\left((-14)/(3),3\right)

Therefore, the y-coordinated of point C is 3.

User SJMan
by
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