Answer :
I think that it would be B because -6x-3 seems to follow the rules given here.
Answer:
D. [tex]y=-3x-21[/tex]
Step-by-step explanation:
We have been given that every time x increases by 1,y decreases by 3. This means that slope of our given line is negative 3.
We will use slope-intercept form of equation to find the required function.
[tex]y=mx+b[/tex], where,
m = Slope of line,
b= The y-intercept.
Upon substituting [tex]m=-3[/tex] and [tex]x=-6[/tex] and [tex]y=-3[/tex] in slope-intercept form of equation, we will get,
[tex]-3=-3\times -6+b[/tex]
[tex]-3=18+b[/tex]
[tex]-3-18=18-18+b[/tex]
[tex]-21=b[/tex]
Upon substituting [tex]m=-3[/tex] and [tex]b=-21[/tex] in slope-intercept form of equation, we will get our required equation as:
[tex]y=-3x-21[/tex]
Therefore, option D is the correct choice.