By applying the equation of proportional line segments, the coordinates of the point E within the line segment CD is equal to (1, 0). (Correct choice: C)
How to determine the location of a point within a line segment?
In this question we must determine the coordinates of a point in a line segment by applying the equation of proportional line segments, whose formula is described below:
E(x, y) = C(x, y) + r · [D(x, y) - C(x, y)] (1)
Where r is the line segment ratio.
If we know that C(x, y) = (- 1, - 3), D(x, y) = (5, 6) and r = 1/3, then the coordinates of the point E are:
E(x, y) = (- 1, - 3) + (1/3) · [(5, 6) - (- 1, - 3)]
E(x, y) = (- 1, - 3) + (1/3) · [(6, 9)]
E(x, y) = (- 1, - 3) + (2, 3)
E(x, y) = (1, 0)
By applying the equation of proportional line segments, the coordinates of the point E within the line segment CD is equal to (1, 0). (Correct choice: C)
To learn more on line segments: https://brainly.com/question/25727583
#SPJ1
