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A system of linear equations is shown below.
4y = 3x + 12
−4y = −3x − 8
Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?
  • a)
    Two parallel lines with negative slope
  • b)
    Two parallel lines with positive slope
  • c)
    A single line with negative slope
  • d)
    A single line with positive slope
  • e)
    Two perpendicular lines
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A system of linear equations is shown below.4y = 3x + 12−4y = &m...
The correct answer is B. To see the properties of each linear equation more clearly, convert each to slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). The equation 4y = 3x + 12 becomes y = 3x/4 + 3 after you divide by 4. The equation −4y = −3x − 8 becomes y = 3x/4 + 2 after you divide by −4. It is now clear that the equations are lines with slope 3/4, making them parallel lines with positive slope. However, since they have different y-intercepts, they are two distinct lines.
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Most Upvoted Answer
A system of linear equations is shown below.4y = 3x + 12−4y = &m...
The given system of linear equations is:

4y = 3x
12
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A system of linear equations is shown below.4y = 3x + 12−4y = −3x − 8Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?a)Two parallel lines with negative slopeb)Two parallel lines with positive slopec)A single line with negative sloped)A single line with positive slopee)Two perpendicular linesCorrect answer is option 'B'. Can you explain this answer?
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A system of linear equations is shown below.4y = 3x + 12−4y = −3x − 8Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?a)Two parallel lines with negative slopeb)Two parallel lines with positive slopec)A single line with negative sloped)A single line with positive slopee)Two perpendicular linesCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A system of linear equations is shown below.4y = 3x + 12−4y = −3x − 8Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?a)Two parallel lines with negative slopeb)Two parallel lines with positive slopec)A single line with negative sloped)A single line with positive slopee)Two perpendicular linesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system of linear equations is shown below.4y = 3x + 12−4y = −3x − 8Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?a)Two parallel lines with negative slopeb)Two parallel lines with positive slopec)A single line with negative sloped)A single line with positive slopee)Two perpendicular linesCorrect answer is option 'B'. Can you explain this answer?.
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