# 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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