when you get this kind of exercise, you just need to check which equations resemble the graph
A. y= 6-4x
y= -4x+6
B. y= -4x+8-2
y= -4x+6
C. y= -4x-8-1
y= -4x-9
D. y= -4x+6
-> A, B and D are the same equations
-> the easiest way to find which graph is correct (A/B/D OR C), is to create the graph yourself using the drawn graph:
y= ax+b
a= negative (the line goes down)
to find the a you go 1 step to the left and look which point of the graph has the same x. in this exercise it's when y=4
a=-4
b= the y-coordinate of the point where the graph cuts the y-axis.
b=6
-> graph shown in picture is y= -4x+b
-> graph A/B/D is correct
-> C is does not represent this line