# 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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