Question

which equation models the relationship between the two variables in the table below?

x	y
3	$-7$
4	$-10$
5	$-13$

$y = -3x + 2$

$y = -2x$

$y = -3x$

$y = -2x - 3$

Explanation:

Step1: Test first equation with x=2

Substitute $x=2$ into $y=-3x+2$:
$y=-3(2)+2=-6+2=-4$

Step2: Verify with x=3

Substitute $x=3$ into $y=-3x+2$:
$y=-3(3)+2=-9+2=-7$

Step3: Verify with x=4

Substitute $x=4$ into $y=-3x+2$:
$y=-3(4)+2=-12+2=-10$

Step4: Verify with x=5

Substitute $x=5$ into $y=-3x+2$:
$y=-3(5)+2=-15+2=-13$

Answer:

$y=-3x+2$