Question

Select the correct answer. A straight line is divided into four equal parts. The starting point A is shown with values [minus3, 6]. The end point B is shown with values [6, minus3]. Point C and D are represented [question mark]. In the diagram, C and D are located such that is divided into three equal parts. What are the coordinates of C and D? A. C(1, 3), D(3, 1) B. C(-3, 0), D(3, -6) C. C(0, 3), D(3, 0) D. C(-1.5, 3), D(1.5, 0)

Answer 1

Given the points A(-3, 6) and B(6, -3), the coordinates of the points C and D that divides AB into three equal parts are; C(0, 3), D(3, 0)

How does a point divides a segment?

A line is divided by a point when the length of the segment is given by the sum of the segments formed by the point on the line.

The given coordinates are;

A(-3, 6) and B(6, -3)

The number of parts the points C and D divides the AB = Three equal parts

The distance of the point C from A is therefore,

$\displaystyle{ \frac{1}{3} }$

Times AB

The coordinates of point C is therefore;

$\displaystyle{ \left ( - 3 + \frac{1}{3} \times (6 - ( - 3)),\: 6 +\frac{1}{3} \times ( - 3 - 6) \right) = C(0 , \: 3) }$

The distance of the point D is

$\displaystyle{ \frac{2}{3} }$

Times the length AB from point A, the coordinates of the point D is therefore;

$\displaystyle{ \left ( - 3 + \frac{2}{3} \times (6 - ( - 3)),\: 6 +\frac{2}{3} \times ( - 3 - 6) \right) = D(3 , \: 0) }$

Learn more about the coordinates of point that divides a line here:

https://brainly.com/question/12959377

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