Coordinate Geometry Hard

9 Questions | Total Attempts: 592

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Coordinate Geometry Hard

Difficult coordinate geometry ACT questions


Questions and Answers
  • 1. 
    • A. 

      24

    • B. 

      28

    • C. 

      48

    • D. 

      60

    • E. 

      80

  • 2. 
    • A. 

      Y = 1/4x + 3/4

    • B. 

      Y = 1/4x - 1/3

    • C. 

      Y = 4/3x

    • D. 

      Y = 1/2x + 3/4

    • E. 

      Y = 9/4x

  • 3. 
    For what value of n would the following system of equations have an infinite number of solutions?3a + b = 1212a + 4b = 3n
    • A. 

      4

    • B. 

      9

    • C. 

      16

    • D. 

      36

    • E. 

      48

  • 4. 
    What is the slope of the line that is perpendicular to the line determined by the equation 7x + 4y = 11?
    • A. 

      -4

    • B. 

      -7/4

    • C. 

      11/4

    • D. 

      4

    • E. 

      4/7

  • 5. 
    What is the distance in the standard (x, y) coordinate plane between points (0, 1) and (4, 4)?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 6. 
    In the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
    • A. 

      -5

    • B. 

      -1/2

    • C. 

      1/2

    • D. 

      2

    • E. 

      5

  • 7. 
    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 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

  • 8. 
    In the standard (x, y) coordinate plane, if a square has the vertices (-2, -3), (2, -3) and (2, 1), what is the set of coordinates for the final vertex?
    • A. 

      (2, -1)

    • B. 

      (1, -2)

    • C. 

      (-1, 2)

    • D. 

      (-2, -1)

    • E. 

      (-2, 1)

  • 9. 
    Given that y - 5 = 1/2x + 1 is the equation of a line, at what point does it cross the x-axis?
    • A. 

      -15

    • B. 

      -12

    • C. 

      1

    • D. 

      4

    • E. 

      6