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A graph shows both the x-axis and y-axis, ranging from negative 10 to 10 in increments of 5. A line passes through the first, third, and fourth quadrants.

Which of the following ordered pairs is part of the solution set for the equation y=3x−4
?

Option #1: (−1,0)


Option #2: (0,−4)


Option #3: (3,4)


(1 point)
Option #
is part of the solution set for the equation.
Remaining Attempts : 3

1 answer

To determine which ordered pair is part of the solution set for the equation \( y = 3x - 4 \), we can substitute each \( x \) value from the ordered pairs into the equation and see if the resulting \( y \) value matches the corresponding \( y \) value in the ordered pair.

  1. Option #1: (−1, 0)

    • Substitute \( x = -1 \): \[ y = 3(-1) - 4 = -3 - 4 = -7 \]
    • The ordered pair (−1, 0) does not satisfy the equation since \( y \neq 0 \).

  2. Option #2: (0, −4)

    • Substitute \( x = 0 \): \[ y = 3(0) - 4 = 0 - 4 = -4 \]
    • The ordered pair (0, −4) satisfies the equation since \( y = -4 \).

  3. Option #3: (3, 4)

    • Substitute \( x = 3 \): \[ y = 3(3) - 4 = 9 - 4 = 5 \]
    • The ordered pair (3, 4) does not satisfy the equation since \( y \neq 4 \).

Based on these calculations, Option #2: (0, −4) is part of the solution set for the equation \( y = 3x - 4 \).