Ineed the answers to these questions quickly, :

choose the equation of the line passing through the point (-4, -2)and parallel to y = 1/4 x + 2.

y = 1/4 x - 1
y = 4x - 1
y = 1/4 x - 3
y = 4x - 3

choose the equation of the line passing through the point (-1, 7)and perpendicular to y = -1/4x - 5.

y = 4x + 3
y = -4x - 11
y = -4x - 3
y = 4x + 11

Step-by-step explanation:

It is probably easiest to identify the required slope so you can eliminate the bogus answers, then try the point in the remaining equations to see what works.

1. Parallel lines have the same slope. A line parallel to a line with slope 1/4 will also have slope 1/4, eliminating the 2nd and 4th answer choices.

Trying the point in the first answer choice, we have ...

  -2 = (1/4)(-4) -1 . . . . true . . . . . y = 1/4x -1 is the correct equation

__

2. Perpendicular lines have slopes that are the negative reciprocal of each other. -1/(-1/4) = 4, eliminating the 2nd and 3rd choices.

Trying the point in the first answer choice, we have ...

  7 = 4(-1) +3 . . . . . . false

The last answer choice gives ...

  7 = 4(-1) +11 . . . . . . true . . . . . . y = 4x +11 is the correct equation

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional