Analytic Geometry: Question Preview (ID: 18265)


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Which of the following equations is NOT represented by a straight line on a graph?
a) x = 3y - 4 b) y = -2x c) x = 4 d) y = 2x^2 - 2
A line has the following characteristics. It is perpendicular to the line y = 1/2 x + 3 and it passes through the point (4, 0). What are m, the slope, and b, the y-intercept, of the line?
a) m = 1/2; b = 0 b) m = 1/2; b = 3 c) m = -2; b = 0 d) m = -2; b = 8
Donna has correctly drawn a line on an xy-plane. Her line is parallel to the line y = - x + 1 and has the same y-intercept as the line y = -2x + 6. Which of the following equations represents the line that Donna has drawn?
a) y = x + 3 b) y = x + 6 c) y = -x + 6 d) y = -x + 3
Mike is asked to graph the linear relation represented by 2x - 3y + 6 = 0. What is the y-intercept of this line?
a) -6 b) -2 c) 2 d) 6
Which of the following statements is true for the line 5x - 2y - 12 = 0?
a) The slope is 2/5 and the y-intercept is 12. b) The slope is -5 and the y-intercept is 6. c) The slope is 5 and the y-intercept is -12. d) The slope is 5/2 and the y-intercept is -6.
Rearrange 4y - x = 8 so that it is in the form y = mx + b.
a) y = x + 8 b) y = -x + 2 c) y = 1/4 x + 2 d) y = -1/4 x + 2
Consider the equation y = mx + 5 . If (7, 3) is a point on the line represented by this equation, which of the following is true?
a) The rise is 8 when the run is 7. b) The rise is 7 when the run is 8. c) The rise is -2 when the run is 7. d) The rise is 7 when the run is -2.
Janelle draws a line that passes through the points (-1, 6) and (0, 3). If Janelle writes the equation of the line in y = mx + b form, what are the values of m and b?
a) m = -9 and b = 3 b) m = -3 and b = 6 c) m = -9 and b = 6 d) m = -3 and b = 3
What is the equation of the line that passes through the points (2, 4) and (4, 0)?
a) y = -1/2 x + 2 b) y = - 1/2 x + 5 c) y = -2x + 4 d) y = -2x + 8
Consider the relation y = -3x + 5. Which of the following statements about the graph of this relation is NOT true?
a) The slope is 3. b) The y-intercept is 5. c) For a rise of 3, the run is -1. d) The graph crosses the y-axis at (0, 5).
How would the graph of the relation y = 3x - 2 change if the 3 and -2 were both doubled? The graph would be:
a) steeper and have a higher y-intercept b) steeper and have a lower y-intercept c) less steep and have a lower y-intercept d) less steep and have a higher y-intercept
Which relation does NOT have an initial vale of 50?
a) y = 50 b) y = 50 + 8x c) y = 50x d) y = 50 - x
Identify the equation that represents the line with a y-intercept of 600 and a slope of 50.
a) y = 50x b) x = 600y c) y = 600x + 50 d) y = 50x + 600
For the slope of a line, the change in x is greater than the change in y. Which of the following could represent the slope of this line?
a) 4/3 b) 2 c) 1 d) 2/5
How many of these equations represent straight lines? y = x - 2; y = 2 - 4x; y = x^2 + 8
a) one b) two c) three d) none
A local hair charges a $15 entry fee and $1.75 per ride. Dustin has $35 to spend. What is the maximum number of rides Dustin can do on?
a) 8 b) 11 c) 12 d) 20
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