Yes you are correct dear!
(75/4) / (5/4) =
75/4 * 4/5 =
300/20 =
15 books
2/3x=4-15
2/3x=-11
2=3x*-11
2=-33x
2/-33=-33x/-33
x=-2/33
You could give all of the fractions a common denominator. You could also solve each of them (1/2=0.5) to see their value and order them through the value.
The answer is y = -7x
Expalnation
Two points on the table are (0,0) and (1,-7)
Change in y = -7-0 = -7
Change in x = 1-0 = 1
Slope m of the function = -7/1= -7
Using y= mx + c
Picking point (0,0), x = 0, y = 0
y = mx + c becomes
0 = -7(0) + c
0 = 0 + c
c= 0
Hence, the equation is y = -7x + 0
which is y = -7x
Option b is the correct answer