Question

In the diagram, AB 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
A(-1.5,10.5)
.B(-1.5,8.5)
C(-0.5,8.5)
D(-0.5,10.5)
The coordinates of point E are
A(1.5,6.5)
B(1.5,7.5)
C(2.5,6.5)
D(2.5,7.5)
The coordinates of point H are
A(5,5.5)
B(5,6)
C(6,5)
D(6,6)
Image Below > https://cdn.ple.platoweb.com/EdAssets/6cdfa024b8fb4d47acbe48dfdb1ee240?ts=635375342295530000

Answer 1

Since all points are on the line AB points with other portions or intervals of that line must also have the same slope

Answer 2

The slope of the line AB is: (9 - 5)/(-3 - 9)
Slope m = 4/-12 = -1/3

Answer 3

ok

Answer 4

um could u better explain ?

Answer 5

Now you check out point C. Find which option will provide a slope of -1/3.
Testing Option A for Point C, it says it is at coordinates (-1.5, 10.5)
Well well when you pair it up with the starting point of your main line Point A, Lo and Behold the slope would be a positive 1, impossible to be on the mainline. Get the idea.

Answer 6

ohh ok i see

Answer 7

Now check out option B for the point C. Option B says C is at (-1.5, 8.5)
Now showing you how to check the slope of AC
(9 - 8.5)/(-3 -(-1.5)) = .5/-1.5 = -1/3
That should tell you that option B for point C is correct.
Thats 1, there are 3 more points to check out.

Answer 8

Use same procedure for Points for E and H. Good luck with your studies.