Answer:
The line equation in slope-intercept form is:

Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between the points




As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4


Therefore, the line equation in slope-intercept form is:

Hence, option D is true.
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C) 
G) 
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If
the function shifts
units to the left.
If
the function shifts
units to the right.
Vertical shift:
If
the function shifts
units to the up.
If
the function shifts
units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A) 
Translation: 
The translation shows a shift of 2 units to the left and 7 units down.
B) 
Translation: 
The translation shows a shift of 3 units down.
C) 
Translation: 
The translation shows a shift of 3 units to the right and 1 units up.
D) 
Translation: 
The translation shows a shift of 4 units up.
F) 
Translation: 
The translation shows a shift of 6 units to the left.
G) 
Translation: 
The translation shows a shift of 5 units to the right.
This is called a difference of squares which always factors according to the rule for factoring the difference of squares....
(a^2+b^2)=(a+b)(a-b) in this case:
9w^2-16 so
(3w-4)(3w+4)