Which ordered pair is a solution of the equation? y=-3x-4 Choose 1 answer: (A) Only (-2,4) (B) Only (-3,5) (C) Both (-2,4) and (-3,5) (D) Neither

Step 1: Check (-2,4) in equation: Plug the x-value from the ordered pair (-2,4) into the equation y = -3x - 4 to see if the y-value is 4. Calculation: y = -3(-2) - 4 = 6 - 4 = 2 Check if this y-value matches the y-value from the ordered pair (-2,4).Step 2: Conclusion for (-2,4): Since the calculated y-value (2) does not match the y-value from the ordered pair (-2,4), which is 4, we conclude that (-2,4) is not a solution to the equation y = -3x - 4.Step 3: Check (-3,5) in equation: Plug the x-value from the ordered pair (-3,5) into the equation y = -3x - 4 to see if the y-value is 5. Calculation: y = -3(-3) - 4 = 9 - 4 = 5 Check if this y-value matches the y-value from the ordered pair (-3,5).Step 4: Conclusion for (-3,5): Since the calculated y-value (5) matches the y-value from the ordered pair (-3,5), we conclude that (-3,5) is a solution to the equation y = -3x - 4.

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Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Which ordered pair is a solution of the equation?

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y=-3x-4

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Choose

1

answer:

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(A) Only

(-2,4)

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(B) Only

(-3,5)

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(-2,4)

and

(-3,5)

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(D) Neither

Step $1$ : Check $(-2,4)$ in equation: Plug the x-value from the ordered pair $(-2,4)$ into the equation $y = -3x - 4$ to see if the y-value is $4$ . $\newline$ Calculation: $y = -3(-2) - 4 = 6 - 4 = 2$ $\newline$ Check if this y-value matches the y-value from the ordered pair $(-2,4)$ .
Step $2$ : Conclusion for $(-2,4)$ : Since the calculated $y$ -value $(2)$ does not match the $y$ -value from the ordered pair $(-2,4)$ , which is $4$ , we conclude that $(-2,4)$ is not a solution to the equation $y = -3x - 4$ .
Step $3$ : Check $(-3,5)$ in equation: Plug the $x$ -value from the ordered pair $(-3,5)$ into the equation $y = -3x - 4$ to see if the $y$ -value is $5$ . $\newline$ Calculation: $y = -3(-3) - 4 = 9 - 4 = 5$ $\newline$ Check if this $y$ -value matches the $y$ -value from the ordered pair $(-3,5)$ .
Step $4$ : Conclusion for $(-3,5)$ : Since the calculated $y$ -value $(5)$ matches the $y$ -value from the ordered pair $(-3,5)$ , we conclude that $(-3,5)$ is a solution to the equation $y = -3x - 4$ .