Question

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?

Answer 1

I think that it would be B because -6x-3 seems to follow the rules given here.

Answer 2

Answer:

D. $y=-3x-21$

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.

$y=mx+b$, where,

m = Slope of line,

b= The y-intercept.

Upon substituting $m=-3$ and $x=-6$ and $y=-3$ in slope-intercept form of equation, we will get,

$-3=-3\times -6+b$

$-3=18+b$

$-3-18=18-18+b$

$-21=b$

Upon substituting $m=-3$ and $b=-21$ in slope-intercept form of equation, we will get our required equation as:

$y=-3x-21$

Therefore, option D is the correct choice.