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every time x increases by 1,y decreases by 3,and when x is -6,yis-3.which function models the realation ship between x and y?
A)y= -6x-21
B)y= -6x-3
C)y= -3x-3
D)y= -3x-21

Sagot :

Thompzacidn
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.

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