Analytic Geometry Question Preview (ID: 62186)


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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

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

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=2x
b) y=-4x+5
c) y=4x-5
d) y=6x

For the line of the equation y = -5x + 3, the line will intercept the y-axis on _______.
a) 3
b) -3
c) -5
d) 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

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 = 6x - 2/5
b) y = 2/5 x - 6
c) y = 5/2 x - 6
d) y = 1/6 x - 5/2

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) 1
b) 2
c) 2/5
d) 4/3

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

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

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

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.

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

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

Find the distance between the points (4,10) and (7,14).
a) 6
b) 8
c) 5
d) 4

Find the distance between the points (3,5) and (1,2).
a) 3.6
b) 5
c) 3.5
d) 4

Write the equation in SLOPE-INTERCEPT FORM with a slope of 1/2 and passes through the point (4, 7)
a) y = 1/2x + 5
b) y = 1/2x + 9
c) y = 1/2x + 4
d) y = 1/2x + 7

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