Question 1

Find an equation of the line that contains the given pair of points. Write the equation in the form  y=mx+by=m x+by=mx+b .
- (3,2) (3,2) (3,2)   and  (3,−9) (3,-9) (3,−9)

Accepted Answer

A)    x=−9x=-9x=−9 
B)    x=3x=3x=3 
C)    y=2y=2y=2 
D)    y=3y=3y=3E) All of the above
F) None of the above

Question 2

Graph the line containing the given pair of points and find the slope.
- (2,−10) (−1,5) (2,-10) (-1,5) (2,−10) (−1,5)

Accepted Answer

A)   -5 
B)   −15-\frac{1}{5}−51​  
C)   15\frac{1}{5}51​  
D)  5 E) A) and D)
F) All of the above

Question 3

Solve the problem.
-Suppose  y=mx+by=m x+by=mx+b  is a mathematical model for actual time as a function of estimated time, where  yyy  represents actual time and  xxx  represents estimated time and  mmm  and  bbb  are constants. If  m=1.3\mathrm{m}=1.3m=1.3  and  b=−4\mathrm{b}=-4b=−4 , find  y\mathrm{y}y  when  x\mathrm{x}x  is  120 min120 \mathrm{~min}120 min .

Accepted Answer

A)    114.8 min114.8 \mathrm{~min}114.8 min 
B)    152 min152 \mathrm{~min}152 min 
C)    125.2 min125.2 \mathrm{~min}125.2 min 
D)    160 min160 \mathrm{~min}160 minE) A) and B)
F) None of the above

Question 4

Find the slope of the line going through the pair of points.
- (6.5,0.5) ,(3.8,−4.4) (6.5,0.5) ,(3.8,-4.4) (6.5,0.5) ,(3.8,−4.4)

Accepted Answer

A)   -4.9
B)   -2.7
C)   -1.8
D)   1.8 E) A) and B)
F) None of the above

Question 5

Graph.
- 2y=72 y=72y=7

Accepted Answer

A)   
B)   
C)   
D)    E) C) and D)
F) A) and C)

Question 6

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
- (12,−1) ,m=−13(12,-1) , \mathrm{m}=-\frac{1}{3}(12,−1) ,m=−31​

Accepted Answer

A)    y=13x−3y=\frac{1}{3} x-3y=31​x−3 
B)    y=−13x+5y=-\frac{1}{3} x+5y=−31​x+5 
C)    y=−13x+3y=-\frac{1}{3} x+3y=−31​x+3 
D)    y=−13x+113y=-\frac{1}{3} x+\frac{11}{3}y=−31​x+311​E) A) and B)
F) All of the above

Question 7

Find the  xxx  - and  yyy -intercepts for the equation. Then graph the equation.
- x+4y=4x+4 y=4x+4y=4

Accepted Answer

A)    (4,0) ,(0,1) (4,0) ,(0,1) (4,0) ,(0,1)  
B)    (1,0) ,(0,4) (1,0) ,(0,4) (1,0) ,(0,4)   C) A) and B)
D) undefined

Question 8

Find the slope and the  yyy -intercept of the line.
- 4x+5y=264 x+5 y=264x+5y=26

Accepted Answer

A)   Slope  −14;y-\frac{1}{4} ; y−41​;y -intercept  (0,526) \left(0, \frac{5}{26}\right) (0,265​)  
B)   Slope  −45;y-\frac{4}{5} ; y−54​;y -intercept  (0,265) \left(0, \frac{26}{5}\right) (0,526​)  
C)   Slope  14;y\frac{1}{4} ; y41​;y -intercept  (0,526) \left(0, \frac{5}{26}\right) (0,265​)  
D)   Slope  45;y\frac{4}{5} ; y54​;y -intercept  (0,265) \left(0, \frac{26}{5}\right) (0,526​) E) B) and C)
F) A) and D)

Question 9

Find the coordinates of the labeled points.
-

Accepted Answer

A)    C(−5,3) \mathrm{C}(-5,3) C(−5,3)  ;  D(2,−5) \mathrm{D}(2,-5) D(2,−5)  
B)    C(−5,−5) \mathrm{C}(-5,-5) C(−5,−5)  ;  D(3,−5) \mathrm{D}(3,-5) D(3,−5)  
C)    C(3,6) C(3,6) C(3,6)  ;  D(−5,2) D(-5,2) D(−5,2)  
D)    C(−5,3) \mathrm{C}(-5,3) C(−5,3)  ;  D(−5,2) \mathrm{D}(-5,2) D(−5,2) E) A) and C)
F) A) and D)

Question 10

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
- (−5,6) ,m=−9(-5,6) , m=-9(−5,6) ,m=−9

Accepted Answer

A)    y=−9x−40y=-9 x-40y=−9x−40 
B)    y=9x−41y=9 x-41y=9x−41 
C)    y=−9x−47y=-9 x-47y=−9x−47 
D)    y=−9x−39y=-9 x-39y=−9x−39E) C) and D)
F) A) and B)

Exam 9: Graphs of Linear Equations

Find the slope and the $y$ -intercept of the line. - $4 x+5 y=26$

Correct Answer
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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(12,-1) , \mathrm{m}=-\frac{1}{3}$

Correct Answer
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Find the slope of the line going through the pair of points. - $(6.5,0.5) ,(3.8,-4.4)$

Correct Answer
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Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(3,2)$ and $(3,-9)$

Correct Answer
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Graph the line containing the given pair of points and find the slope. - $(2,-10) (-1,5)$ $Graph the line containing the given pair of points and find the slope. - (2,-10) (-1,5) A) -5 B) -\frac{1}{5} C) \frac{1}{5} D) 5$

Correct Answer
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Graph. - $2 y=7$

Correct Answer
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Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $x+4 y=4$

Correct Answer
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Find the coordinates of the labeled points. - $Find the coordinates of the labeled points. - A) \mathrm{C}(-5,3) ; \mathrm{D}(2,-5) B) \mathrm{C}(-5,-5) ; \mathrm{D}(3,-5) C) C(3,6) ; D(-5,2) D) \mathrm{C}(-5,3) ; \mathrm{D}(-5,2)$

Correct Answer
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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(-5,6) , m=-9$

Correct Answer
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Correct Answer
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Exam 9: Graphs of Linear Equations

Find the slope and the yyy -intercept of the line. - 4x+5y=264 x+5 y=264x+5y=26

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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (12,−1) ,m=−13(12,-1) , \mathrm{m}=-\frac{1}{3}(12,−1) ,m=−31​

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Find the slope of the line going through the pair of points. - (6.5,0.5) ,(3.8,−4.4) (6.5,0.5) ,(3.8,-4.4) (6.5,0.5) ,(3.8,−4.4)

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Find an equation of the line that contains the given pair of points. Write the equation in the form y=mx+by=m x+by=mx+b . - (3,2) (3,2) (3,2) and (3,−9) (3,-9) (3,−9)

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Graph the line containing the given pair of points and find the slope. - (2,−10) (−1,5) (2,-10) (-1,5) (2,−10) (−1,5)

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Graph. - 2y=72 y=72y=7

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Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - x+4y=4x+4 y=4x+4y=4

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Find the coordinates of the labeled points. -

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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (−5,6) ,m=−9(-5,6) , m=-9(−5,6) ,m=−9

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Find the slope and the $y$ -intercept of the line. - $4 x+5 y=26$

Correct Answer
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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(12,-1) , \mathrm{m}=-\frac{1}{3}$

Correct Answer
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Find the slope of the line going through the pair of points. - $(6.5,0.5) ,(3.8,-4.4)$

Correct Answer
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Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(3,2)$ and $(3,-9)$

Correct Answer
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Graph the line containing the given pair of points and find the slope. - $(2,-10) (-1,5)$ $Graph the line containing the given pair of points and find the slope. - (2,-10) (-1,5) A) -5 B) -\frac{1}{5} C) \frac{1}{5} D) 5$

Correct Answer
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Graph. - $2 y=7$

Correct Answer
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Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $x+4 y=4$

Correct Answer
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Find the coordinates of the labeled points. - $Find the coordinates of the labeled points. - A) \mathrm{C}(-5,3) ; \mathrm{D}(2,-5) B) \mathrm{C}(-5,-5) ; \mathrm{D}(3,-5) C) C(3,6) ; D(-5,2) D) \mathrm{C}(-5,3) ; \mathrm{D}(-5,2)$

Correct Answer
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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(-5,6) , m=-9$

Correct Answer
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Correct Answer
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