The ordered pairs (2,-11) and (5,-20) are solutions to which of the following equations?

Question

A y=3x-5

B y=-3x+5

C y=3x+5

D y=-3x-5

Answer 1

To see which equation these points satisfy, we'll plug the points into every equation and see if they hold true. Let's start by plugging $(2, -11)$ into A:

$-11 = 3(2) - 5 = 1 \neq -11$

And into B:

$-11 = -3(2) + 5 = 1\neq -11$

And into C:

$-11 = 3(2) + 5 = 11 \neq -11$

And into D:

$-11 = -3(2) - 5 = -11$

So it looks like D might be our answer. We also have to make sure that the second point satisfies the equation too. Plugging $(5, -20)$ into D:

$-20 = -3(5) - 5 = -20$

Since both points are satisfied by $\boxed{\text{(D)}\ y = -3x - 5}$, that is our answer.