6.A rectangle has a coordinate at (3,5),(3,8) and (9,5).Plot the points to determine the coordinate of the fourth point.

a)(-3,5)
b)(9,8)
c)(8,9)
d)(-9,8)***

9.What is the length of the line segment between M(2,-9) and N(2,-14)?
a)5 units***
b)6 units
c)15 units
d)23 units

I am struggling and i need help

To solve question 6, we need to plot the points given: (3,5), (3,8), and (9,5).

First, let's plot these points on a coordinate plane:

|
8 |
|
7 |
|
6 | (3,8)
|
5 |* (3,5)
|
4 |
|
3 |
|
2 |
|
1 |
|
|________________________
1 2 3 4 5 6 7 8 9

With these points plotted, we can see that the missing point would be the one that completes the rectangle. Looking at the graph, we can see that the missing point would be (9, 8).

Therefore, the correct answer for question 6 is option (b) (9,8).

To solve question 9, we can use the distance formula to find the length of the line segment between points M(2,-9) and N(2,-14).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:
d = sqrt((2 - 2)^2 + (-14 - -9)^2)
= sqrt(0^2 + (-5)^2)
= sqrt(0 + 25)
= sqrt(25)
= 5

Therefore, the correct answer for question 9 is option (a) 5 units.