Multiple Choice Practice
Coordinate Geometry
Integrated Algebra Level
Algebra Index | Regents Exam Prep Center


Also available in Hardcopy (.pdf):
Coordinate Geometry
 

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.

1.   What is the slope of the line whose equation is 3x - 4y - 16 = 0.
       [1]  3/4                    [2]  4/3                  [3]  3                    [4]  -4
 

 

2.  What is the equation of a line passing through the points (1,2) and (-2,5)?

     [1]  y = x + 3            [2]  y = -x + 3         [3]  y = (7/3)x + 1    [4]  y = 3x + 3
 

 

3.  Which of the following is the equation of a line with a slope of 0 and passing through the point (4,6)?

     [1] x = 4                  [2] x = -4                 [3]  y = 6                [4]  y = -6
 

 

4.  What is the slope of a line passing through the points (3,5) and (-2,6)?

     [1]  -1/5                   [2]  -1                    [3]  -5                    [4]  11/5
 

 

5.  A horizontal line has a slope of

     [1]  0                        [2]   1                    [3]  -1                   [4]  undefined
 

 

 

6.  What is the slope of the line shown in the figure at the right? 

     [1]  4/3

     [2]  3/4 

     [3] -(3/4)  

     [4]  -(4/3)

 

7.  What are the coordinates of the y-intercept of the equation y - 3x = 5?

    [1]  (0,3)                   [2]  (0,-3)                [3]  (0,5)            [4]  (0,-5)
 

 

8.  The slope of a vertical line is

     [1]  0                        [2]  1                       [3]  -1               [4]  undefined
 

 

9.  Find the slope of a line perpendicular to the line whose equation is 3y + 2x = 6.

     [1]  2                            [2]  -2                         [3]  -3/2                   [4]  3/2
 

 

10.  What are the roots of this parabola?

     [1]  3 and 1   

     [2]  1 and 0     

      [3]  3 and -1  

     [4]  -4 and 0

 

 

11.  What is the equation of the axis of symmetry of the graph  y = 3x2 + 12x - 2 ?

     [1]  x = -2                 [2]  x = 2              [3]  y = -2              [4]  y = 2
 

 

12.  Which equation below could depict exponential decay? 

     [1]  y = 3                 [2]  y = 1.4x        [3]  y = 0.5x             [4]  y = 2x
 

 

 

13.  What type of function is graphed here?
  
     [1]  quadratic

      [2]  absolute value

     [3]  linear

     [4]  exponential 


 

14.  The diagram below shows the graph of     y = | x - 3 |. 
      

          

 

Which graph shows the graph of
y = - | x - 3 |  ?

[1]      [3]  

[2]      [4]

 

15.  Find the equation of the line parallel to the line whose equation is y = -3x + 5 and whose
      y-intercept is -5.

     [1]  y = -3x - 5              [2]  y = 3x - 5      [3] y = (1/3)x - 5    [4] y = 3x - (1/5)
 

 

16.  Write an equation for a line passing through the points (c, 2b) and (c, 3b). 

     [1]  y = cx - b                [2]  y = -cx + b         [3]  x = 2b            [4]  x = c
 

 

17.  Which is the equation of a line whose slope is undefined?

     [1]  x = -5                    [2]  y = 7                    [3] x = y              [4]  x + y = 0
 

 

18.   What is the equation of this line?

     [1] 

     [2]   y = 2x - 3
 

     [3] 

     [4]  y = -2x - 3

 

19.  Which of these equations represents a line parallel to the line 2x + y = 6? 

     [1]  y = 2x + 3           [2]  y - 2x = 4       [3]  2x - y = 8        [4]  y = -2x + 1
 

 

20.  Find the equation of the line that has a slope of -2 and a y-intercept of -9.

     [1]  y = 2x - 9           [3]  y = -2x - 9    
     [2]  y = 2x + 9          [4]  y = -2x + 9
 




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