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Select the correct answer from each drop-down menu. Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I. In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). The coordinates of point C are . The coordinates of point E are . The coordinates of point H are .

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The coordinates of points C, E and G are respectively; C = (-0.75, 8.5),  E = (3.75, 7.5) and H= (7.5, 6)

What is the Coordinates of the Line Segment about?

The question stated that the line AB is divided into 7 equally spaced points that are tagged as C, D, E, F, G, H and I.

Note that the coordinates of A and B are  A(-3, 9) and B(9, 5) respectively and because they are known to be equally spaced, then it implies that point F is the midpoint of the line.

Thus (x, y) is said to be the coordinate of F. So;

x, y = (-3 + 9)/2, (9 + 5)/2

x, y = (6, 7)

Note also that H is the midpoint of FB. So,

H(x, y) = (6 + 9)/2, (5 + 7)/2

H(x, y) = (7.5, 6)

Since D is midpoint of A and F. therefore;

D(x, y) = (-3 + 6)/2, (9 + 7)/2

D(x, y) = (1.5, 8)

Since E is midpoint of F and D. So;

E(x, y) = (1.5 + 6)/2, (8 + 7)/2

E(x, y) = (3.75, 7.5)

C is midpoint of D and A. So;

C(x, y) = (-3 + 1.5)/2, (9 + 8)/2

C(x, y) = (-0.75, 8.5)

Therefore, we can say that the coordinates of points C, E and G are respectively; C = (-0.75, 8.5),  E = (3.75, 7.5) and H= (7.5, 6).

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