Question

for each ordered pair, determine whether it is a solution to $y = 6x - 4$.

$(x, y)$	is it a solution?
$(3, -14)$	$\circ$	$\circ$
$(-6, 27)$	$\circ$	$\circ$
$(8, 44)$	$\circ$	$\circ$
$(-4, -9)$	$\circ$	$\circ$

Explanation:

Step1: Check (3, -14)

Substitute \( x = 3 \) into \( y = 6x - 4 \): \( y = 6(3) - 4 = 18 - 4 = 14 \). The given \( y \) is -14, not 14. So not a solution.

Step2: Check (-6, 27)

Substitute \( x = -6 \): \( y = 6(-6) - 4 = -36 - 4 = -40 \). Given \( y \) is 27, not -40. Not a solution.

Step3: Check (8, 44)

Substitute \( x = 8 \): \( y = 6(8) - 4 = 48 - 4 = 44 \). Matches. So solution.

Step4: Check (-4, -9)

Substitute \( x = -4 \): \( y = 6(-4) - 4 = -24 - 4 = -28 \). Given \( y \) is -9, not -28. Not a solution.

Answer:

(x, y)	Yes	No
(-6, 27)		✔️
(8, 44)	✔️
(-4, -9)		✔️