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Analytic Geometry
Test Description: Fdf
Instructions: Answer all questions to get your test result.
1) 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 + 6
B
y = x + 3
C
y = -x + 6
D
y = -x + 3
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 = -2; b = 8
B
m = 1/2; b = 0
C
m = -2; b = 0
D
m = 1/2; b = 3
3) A line passes through these two points (1,-1) and (4,11), what is the equation of the line? Use menu 814 strategy.
A
y=4x-5
B
y=-4x+5
C
y=2x
D
y=6x
4) For the line of the equation y = -5x + 3, the line will intercept the y-axis on _______.
A
5
B
-5
C
3
D
-3
5) 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
6) Write the slope intercept form of the equation of the line with the same slope as 2x - 5y = 12 and the same y-intercept as 4y + 24 = 5x.
A
y = 2/5 x - 6
B
y = 5/2 x - 6
C
y = 6x - 2/5
D
y = 1/6 x - 5/2
7) 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
2/5
B
4/3
C
1
D
2
8) Identify the equation that represents the line with a y-intercept of 600 and a slope of 50.
A
y = 600x + 50
B
y = 50x
C
x = 600y
D
y = 50x + 600
9) What is the equation of the line that passes through the points (2, 4) and (4, 0)?
A
y = -2x + 4
B
y = -1/2 x + 2
C
y = - 1/2 x + 5
D
y = -2x + 8
10) 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 = -9 and b = 6
C
m = -3 and b = 3
D
m = -3 and b = 6
11) Which of the following statements is true for the line 5x - 2y - 12 = 0?
A
The slope is 5/2 and the y-intercept is -6.
B
The slope is 2/5 and the y-intercept is 12.
C
The slope is 5 and the y-intercept is -12.
D
The slope is -5 and the y-intercept is 6.
12) Mike is asked to graph the linear relation represented by 2x - 3y + 6 = 0. What is the y-intercept of this line?
A
2
B
6
C
-2
D
-6
13) How many of these equations represent straight lines? y = x - 2; y = 2 - 4x; y = x^2 + 8
A
three
B
one
C
two
D
none
14) 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
11
B
8
C
20
D
12
15) Find the distance between the points (4,10) and (7,14).
A
6
B
5
C
4
D
8
16) Find the distance between the points (3,5) and (1,2).
A
4
B
3.6
C
5
D
3.5
17) Write the equation in SLOPE-INTERCEPT FORM with a slope of 1/2 and passes through the point (4, 7)
A
y = 1/2x + 9
B
y = 1/2x + 5
C
y = 1/2x + 4
D
y = 1/2x + 7
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