Exam 2: Graphs, Equations of Lines, and Functions

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Refer to the graph. Refer to the graph.   Which line has a positive slope? Which line has a positive slope?

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Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. y=2x+6,y=7x5y = 2 x + 6 , y = 7 x - 5

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Find g(8)g ( 8 ) . g(x)=(x10)2g ( x ) = ( x - 10 ) ^ { 2 }

(Multiple Choice)
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Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (4, 2), (5, 4)

(Short Answer)
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The __________ form of a linear equation in two variables is Ax+By=CA x + B y = C , where not both A and B are 0.

(Short Answer)
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In which quadrant is the point (-6,4) located?

(Multiple Choice)
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Find the grade of a road which descends 330 feet over a run of 2.5 miles. ( Hint: 1 mi. = 5,280 ft.) Find the grade of a road which descends 330 feet over a run of 2.5 miles. ( Hint: 1 mi. = 5,280 ft.)   descends 330 ft descends 330 ft

(Multiple Choice)
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A set of second components of ordered pairs of relation is called the __________.

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Give the coordinates of point B . Give the coordinates of point B .     (________ , ________) (________ , ________)

(Essay)
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Determine whether the relation defines y to be a function of x . Determine whether the relation defines y to be a function of x .   __________ If it does not, indicate all values of x that are assigned more than one value of y . __________ __________ If it does not, indicate all values of x that are assigned more than one value of y . __________

(Essay)
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Determine whether the following table defines y as a function of x . x y -2 9 0 9 1 9 3 9

(Multiple Choice)
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The graph in the following illustration shows the depths of a submarine at certain times. The graph in the following illustration shows the depths of a submarine at certain times.     For how long does the submarine travel at a depth of 1,000 feet? __________ hours For how long does the submarine travel at a depth of 1,000 feet? __________ hours

(Multiple Choice)
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Refer to the graph. Refer to the graph.   What is the x -intercept of the line?  ( ________,________ ) What is the y -intercept of the line?  ( ________,________ ) What is the x -intercept of the line? ( ________,________ ) What is the y -intercept of the line? ( ________,________ )

(Essay)
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If (52,32)\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right) is the midpoint of segment PQ and the coordinates of P are (5,1) , find the coordinates of Q .

(Multiple Choice)
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Determine whether the lines are parallel, perpendicular, or neither. A line passing through (3,2) and (4,3)( - 3,2 ) \text { and } ( 4,3 ) A line passing through (5,3) and (9,5)( - 5,3 ) \text { and } ( 9,5 )

(Multiple Choice)
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Find the slope of the line. Find the slope of the line.

(Essay)
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Use the slope-intercept form to write an equation of the line with the given properties.  slope - 3; y-intercept (0,14)\text { slope - 3; } y \text {-intercept } ( 0,14 )

(Multiple Choice)
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Which of the following ordered pairs is a solution of y=2x+4y = - 2 x + 4

(Multiple Choice)
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Determine whether the table defines y as a function of x . x y 1 5 2 14 3 25 4 17 1 9

(True/False)
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Ordered pairs of numbers can be graphed on a(n) __________ coordinate system.

(Short Answer)
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