Question 1

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line y = -3x - 4; passes through the point (4, 3); slope-intercept form

Accepted Answer

A)    y=−13x+53y = - \frac { 1 } { 3 } x + \frac { 5 } { 3 }y=−31​x+35​ 
B)    y=3x+53y = 3 x + \frac { 5 } { 3 }y=3x+35​ 
C)    y=−3x+53y = - 3 x + \frac { 5 } { 3 }y=−3x+35​ 
D)    y=13x+53y = \frac { 1 } { 3 } x + \frac { 5 } { 3 }y=31​x+35​ D

Question 2

Find the distance d(A, B)between the points A and B.
-A = (4, 4); B = (4, 2)

Accepted Answer

A)  2
B)  3
C)  1   
D)   2	ext { 
D)   } \sqrt { 2 } 
D)   2c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z"/>​ A

Question 3

Find the equation of the line passing through the indicated two points in standard form.
-(2, -3)and (-7, 4)

Accepted Answer

A)  5x - 11y = -9
B)  -7x + 9y = -13
C)  7x + 9y = -13
D)  -5x + 11y = -9 C

Question 4

Find the intercepts of the circle. Round to the nearest hundredth, when necessary.
-$$( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9$$

Accepted Answer

A)  The two x-intercepts are x = 7 and x = -7, and the two y-intercepts are y = 3 and y = -3.
B)  The x-intercept is x = 4, and the y-intercept is y = -9.
C)  There are no intercepts.
D)  The two x-intercepts are x = 4 and x = -4, and the two y-intercepts are y = 3 and y = -3.

Question 5

Sketch the line with the given slope that passes through the indicated point.
-Slope is undefined; line passes through the point (-7, 10)

Accepted Answer

A)  
B)  
C)  
D)

Question 6

Find the slope-intercept form of the equation of the line with the given properties.
-Slope $= - \frac { 5 } { 3 } ; y -$ intercept $= 5$

Accepted Answer

A)    y=53x+5y = \frac { 5 } { 3 } x + 5y=35​x+5 
B)    y=−53x+5y = - \frac { 5 } { 3 } x + 5y=−35​x+5 
C)    y=−35x+3y = - \frac { 3 } { 5 } x + 3y=−53​x+3 
D)    y=−53x+3y = - \frac { 5 } { 3 } x + 3y=−35​x+3

Question 7

Find the slope of the line determined by the given equation and then sketch the line.
-$$3 x - 5 y = - 1$$

Accepted Answer

A)   slope  =−35= - \frac { 3 } { 5 }=−53​ 
B)   slope  =53= \frac { 5 } { 3 }=35​  
C)   slope  =35= \frac { 3 } { 5 }=53​ 
D)   slope  =−53= - \frac { 5 } { 3 }=−35​

Question 8

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line y = 5; passes through the point (8, 1); standard form

Accepted Answer

A)  x = 8
B)  y = 1
C)  y = 8
D)  x = 1

Question 9

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line x = 5; passes through the point (9, 2); standard form

Accepted Answer

A)  x = 2
B)  y = 2
C)  y = 9
D)  x = 9

Question 10

Decide whether the pair of lines is parallel, perpendicular, or neither.
-6x + 2y = 8 27x + 9y = 39

Accepted Answer

A)  parallel
B)  perpendicular
C)  neither

Question 11

Graph the equation.
-$$x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$$

Accepted Answer

A)  
B)  
C)  
D)

Question 12

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(4, 0)and (-9, 6)

Accepted Answer

A)    y=613x+2413y = \frac { 6 } { 13 } x + \frac { 24 } { 13 }y=136​x+1324​ 
B)    y=−613x+2413y = - \frac { 6 } { 13 } x + \frac { 24 } { 13 }y=−136​x+1324​ 
C)    y=−415x+185y = - \frac { 4 } { 15 } x + \frac { 18 } { 5 }y=−154​x+518​ 
D)    y=415x+185y = \frac { 4 } { 15 } x + \frac { 18 } { 5 }y=154​x+518​

Question 13

Write the standard form of the equation of the circle.
-Center (5, 7), r = 12

Accepted Answer

A)    (x−5) 2+(y−7) 2=144( x - 5 )  ^ { 2 } + ( y - 7 )  ^ { 2 } = 144(x−5) 2+(y−7) 2=144 
B)    (x+5) 2+(y+7) 2=12( \mathrm { x } + 5 )  ^ { 2 } + ( \mathrm { y } + 7 )  ^ { 2 } = 12(x+5) 2+(y+7) 2=12 
C)    (x−5) 2+(y−7) 2=12( x - 5 )  ^ { 2 } + ( y - 7 )  ^ { 2 } = 12(x−5) 2+(y−7) 2=12 
D)    (x+5) 2+(y+7) 2=144( x + 5 )  ^ { 2 } + ( y + 7 )  ^ { 2 } = 144(x+5) 2+(y+7) 2=144

Question 14

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(7, 9)and (4, 1)

Accepted Answer

A)    y+9=83(x+7) y + 9 = \frac { 8 } { 3 } ( x + 7 ) y+9=38​(x+7)   or  y+1=83(x+4) y + 1 = \frac { 8 } { 3 } ( x + 4 ) y+1=38​(x+4)  
B)    y−9=23(x−7) y - 9 = \frac { 2 } { 3 } ( x - 7 ) y−9=32​(x−7)   or  y−1=23(x−4) y - 1 = \frac { 2 } { 3 } ( x - 4 ) y−1=32​(x−4)  
C)    y+9=23(x+7) y + 9 = \frac { 2 } { 3 } ( x + 7 ) y+9=32​(x+7)   or  y+1=23(x+4) y + 1 = \frac { 2 } { 3 } ( x + 4 ) y+1=32​(x+4)  
D)    y−9=83(x−7) y - 9 = \frac { 8 } { 3 } ( x - 7 ) y−9=38​(x−7)   or  y−1=83(x−4) y - 1 = \frac { 8 } { 3 } ( x - 4 ) y−1=38​(x−4)

Question 15

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies.
-(0, 4)

Accepted Answer

A)    xxx -axis
B)   Quadrant II
C)    yyy -axis
D)    yyy -axis

Question 16

Determine whether the points A, B, and C form a right triangle.
-A = (-7, -3); B = (-1, -1); C = (5, -8)

Accepted Answer

A)  Yes
B)  No

Question 17

Find the center and radius of the circle with the given equation.
-$$x ^ { 2 } + y ^ { 2 } - 10 x + 2 y + 26 = 16$$

Accepted Answer

A)   Center  (−5,1) ,r=16( - 5,1 )  , r = 16(−5,1) ,r=16 
B)   Center  (5,−1) ,r=4( 5 , - 1 )  , r = 4(5,−1) ,r=4 
C)   Center  (−1,5) ,r=4( - 1,5 )  , r = 4(−1,5) ,r=4 
D)   Center  (1,−5) ,r=16( 1 , - 5 )  , r = 16(1,−5) ,r=16

Question 18

Graph the equation by plotting intercepts.
-3x - y = 9

Accepted Answer

A)  
B)  
C)  
D)

Question 19

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(8, 7)and (-8, 7)

Accepted Answer

A)    y=12x−101y = 12 x - 101y=12x−101 
B)    y=4x−37y = 4 x - 37y=4x−37 
C)    y=3x−29y = 3 x - 29y=3x−29 
D)    y=7y = 7y=7

Question 20

Sketch the line with the given slope that passes through the indicated point.
-Slope = 1; line passes through the point (-4, -6)

Accepted Answer

A)  
B)  
C)  
D)

Exam 2: The Rectangular Coordinate System, Lines, and Circles

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line y = -3x - 4; passes through the point (4, 3) ; slope-intercept form

Find the distance d(A, B) between the points A and B. -A = (4, 4) ; B = (4, 2)

Find the equation of the line passing through the indicated two points in standard form. -(2, -3) and (-7, 4)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9$

Sketch the line with the given slope that passes through the indicated point. -Slope is undefined; line passes through the point (-7, 10)

Find the slope-intercept form of the equation of the line with the given properties. -Slope $= - \frac { 5 } { 3 } ; y -$ intercept $= 5$

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line y = 5; passes through the point (8, 1) ; standard form

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line x = 5; passes through the point (9, 2) ; standard form

Decide whether the pair of lines is parallel, perpendicular, or neither. -6x + 2y = 8 27x + 9y = 39

Graph the equation. - $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$ $Graph the equation. - x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9 A) B) C) D)$

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(4, 0) and (-9, 6)

Write the standard form of the equation of the circle. -Center (5, 7) , r = 12

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(7, 9) and (4, 1)

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(0, 4)

Determine whether the points A, B, and C form a right triangle. -A = (-7, -3) ; B = (-1, -1) ; C = (5, -8)

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } - 10 x + 2 y + 26 = 16$

Graph the equation by plotting intercepts. -3x - y = 9

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(8, 7) and (-8, 7)

Sketch the line with the given slope that passes through the indicated point. -Slope = 1; line passes through the point (-4, -6)

Exam 2: The Rectangular Coordinate System, Lines, and Circles

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line y = -3x - 4; passes through the point (4, 3) ; slope-intercept form

Find the distance d(A, B) between the points A and B. -A = (4, 4) ; B = (4, 2)

Find the equation of the line passing through the indicated two points in standard form. -(2, -3) and (-7, 4)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - (x−4) 2+(y−5) 2=9( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9(x−4) 2+(y−5) 2=9

Sketch the line with the given slope that passes through the indicated point. -Slope is undefined; line passes through the point (-7, 10)

Find the slope-intercept form of the equation of the line with the given properties. -Slope =−53;y−= - \frac { 5 } { 3 } ; y -=−35​;y− intercept =5= 5=5

Find the slope of the line determined by the given equation and then sketch the line. - 3x−5y=−13 x - 5 y = - 13x−5y=−1

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line y = 5; passes through the point (8, 1) ; standard form

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line x = 5; passes through the point (9, 2) ; standard form

Decide whether the pair of lines is parallel, perpendicular, or neither. -6x + 2y = 8 27x + 9y = 39

Graph the equation. - x2+(y−2) 2=9x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9x2+(y−2) 2=9

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(4, 0) and (-9, 6)

Write the standard form of the equation of the circle. -Center (5, 7) , r = 12

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(7, 9) and (4, 1)

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(0, 4)

Determine whether the points A, B, and C form a right triangle. -A = (-7, -3) ; B = (-1, -1) ; C = (5, -8)

Find the center and radius of the circle with the given equation. - x2+y2−10x+2y+26=16x ^ { 2 } + y ^ { 2 } - 10 x + 2 y + 26 = 16x2+y2−10x+2y+26=16

Graph the equation by plotting intercepts. -3x - y = 9

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(8, 7) and (-8, 7)

Sketch the line with the given slope that passes through the indicated point. -Slope = 1; line passes through the point (-4, -6)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9$

Find the slope-intercept form of the equation of the line with the given properties. -Slope $= - \frac { 5 } { 3 } ; y -$ intercept $= 5$

Graph the equation. - $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$ $Graph the equation. - x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9 A) B) C) D)$

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } - 10 x + 2 y + 26 = 16$