Question

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Answer 1

The coordinates of the end point of the line AC is C(8.6) using the section formula.

Explain the section formula?

• The coordinates of such a point which divides an line segment internally or externally in certain ratio can be found using the section formula.
• The midpoint of such a line segment can be determined using this technique as well.

For the given question,

The coordinates are-

1. A(2, -6)
2. C(m,n)
3. mid point M(5,0)

The formula for the mid point using the section formula is-

x(m) = x2 + x1 / 2

5 = m + 2 / 2

10 = m + 2

m = 8

y(m) = y2 + y1 / 2

0 = n - 6/ 2

0 = n -6

n = 6

Thus, the coordinates of the end point of the line AC is C(8.6) using the section formula.

To know more about the section formula, here

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The complete question is-

Segment AC is bounded by points A(2, -6) and C(m,n). If points (5,0) is the mid point of the segment AC, find the coordinates of the point C.