Question

In the diagram, Segment AB is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).
What are the coordinates of C, E and H?

Point C: A. (-1.5, 10.5)
B. (-1.5, 8.5)
C. (-0.5, 8.5)
D. (-0.5, 10.5)

Point E: A. (1.5, 6.5)
B. (1.5, 7.5)
C. (2.5, 6.5)
D. (2.5, 7.5)

Point H: A. (5, 5.5)
B. (5, 6)
C. (6, 5)
D. (6, 6)

Answer 1

Point C is (-1.5, 8.5)

Point E is (1.5, 7.5)

Point H is (6, 6)

Each section is 1.5 x units higher and 0.5 y units lower than Point A so for each section you have add 1.5 to x and subtract 0.5 from y.

i.e.

Point A is (-3, 9). Point C is one section away, so to get point C you simply,

( (-3 + 1.5), (9 - 0.5) ) = (-1.5, 8.5)

Answer 2

Answer:

x  12/8=1.5 increase each unit         y 4/8=.5 increase each unit

C= -1.5,8.5

E=1.5,7.5

H=6,6

Step-by-step explanation: