Question 1

Find the slope of the line passing through the pair of points. ?
(14,0), (0,-3)
?

Accepted Answer

A)   m = $- \frac { 1 } { 16 }$ 
B)   m = $\frac { 14 } { 3 }$ 
C)   m = $\frac { 3 } { 14 }$ 
D)   m = - $\frac { 3 } { 14 }$ 
E)   m = - $\frac { 14 } { 3 }$

Question 2

Draw the line using the slope and y-intercept. ​
Y + 1 = 2x
​

Accepted Answer

A)   ​ 
B)   ​ 
C)   ​ 
D)   ​

Question 3

Find the slope of the line passing through the pair of points. ​
P(-4,3);Q(2,-9).
​

Accepted Answer

A) m = 1 
B) m = -7 
C) m = 4 
D) m = -2 
E) m = -1

Question 4

Find the slope of the line passing through the pair of points.? $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$ ?

Accepted Answer

A) m = 19 
B) m = 1 
C) m = 2 
D) m = -1 
E) none of these

Question 5

Determine whether the lines are parallel,perpendicular,or neither. ?
L1: y = $\frac { 1 } { 3 }$ x - 4
L2: y = $\frac { 1 } { 3 }$ x - 3
?

Accepted Answer

A) Perpendicular 
B) Parallel 
C) Neither

Question 6

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ?
P(0,-7),m = 8
?

Accepted Answer

A)  $y = - 8 x + 8$ ?  
B)  $y = - 7 x - 7$  
C)  $$y = 8 x - 8$$  ? 
D)  $$y = 8 x - 7$$ ?  
E)  $$y = 8 x + 8$$ ?  ?

Question 7

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0)and (0,b)is ?? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ ?
X-intercept: (-3,0)
Y-intercept: (0,8)
?
?

Accepted Answer

A)  $$- 3 x + 8 y + 24 = 0$$ 
B)  $8 x + 3 y + 24 = 0$ 
C)  $8 x - 3 y + 24 = 0$ 
D)  $8 x - 3 y - 24 = 0$ 
E)  $- 3 x + 8 y - 24 = 0$

Question 8

Find the slope and y-intercept (if possible)of the equation of the line.Select the line.? $$y = - \frac { 1 } { 6 } x + 6$$ ?

Accepted Answer

A)   m = -6
Y-intercept: (0,6) 
B)   ? m is undefined.y-intercept: (0,6) 
C) ?  ? $$m = - \frac { 1 } { 6 }$$
Y-intercept: (0,6) 
D)   m = -1
Y-intercept: (0,6) 
E) ?  m = 6
Y-intercept: (0,6)

Question 9

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​
The line has a slope of m = 134.
​

Accepted Answer

A) No change in sales 
B) Sales decreasing 134 units/yr 
C) Sales increasing 134 units/yr 
D) None of the above

Question 10

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$3 x - 5 = 0$$ ?

Accepted Answer

A)   ?m is undefined.There is no y-intercept. 
B)   ?m = -3
Y-intercept: (0,5) 
C)   ?m is undefined.There is no y-intercept. 
D)   ?m = -5
Y-intercept: (0,3) 
E) ?  ?m is undefined.There is no y-intercept.

Question 11

A school district purchases a high-volume printer,copier,and scanner for $20,000. After 10 years,the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.
?

Accepted Answer

A)  $V = 1740 t - 20,000$ 
B)  $V = - 1740 t - 20,000$ 
C)  $V = 1740 t + 20,000$ 
D)  $V = - 1740 t + 20,000$ 
E)  $V = - 1740 + 20,000 t$

Question 12

Determine whether the lines are parallel,perpendicular,or neither. ?
L1: y = $\frac { 9 } { 2 }$ x - 9
L2: y = - $\frac { 2 } { 9 }$ x - 2
?

Accepted Answer

A) Perpendicular 
B) Neither 
C) Parallel

Question 13

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? $$\mathrm { P } ( - 7,6 ) , m = - 3$$ ?

Accepted Answer

A)  $$y = 6 x + 6$$  
B)  $$y = 6 x - 6$$  
C)  $$y = - 3 x - 15$$  ? 
D)  $$y = - 7 x - 7$$  
E)  $$y = 6 x + 6$$ ?

Question 14

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0)and (0,b)is? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ ? ?
X-intercept: ( $- \frac { 5 } { 8 }$ ,0)
Y-intercept: $( 0 , - 3 )$ ?
?

Accepted Answer

A)  $- 24 x - 8 y - 5 = 0$ 
B)  $24 x + 8 y - 5 = 0$ 
C)  $- 24 x + 8 y + 5 = 0$ 
D)  $24 x + 5 y + 15 = 0$ 
E)  $24 x - 8 y + 5 = 0$

Question 15

Find the slope of the line passing through the pair of points. ​
P(5,4);Q(9,20).​
​

Accepted Answer

A) m = 5 
B) m = 4 
C) m = 2 
D) m = 3 
E) m = 6

Question 16

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $$\frac { 5 } { 100 }$$ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Accepted Answer

A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft

Question 17

A real estate office handles an apartment complex with 60 units.When the rent per unit is $98 per month,all 60 units are occupied.However,when the rent is $630 per month,the average number of occupied units drops to 46.Assume that the relationship between the monthly rent p and the demand x is linear. Select the equation of the line giving the demand x in terms of the rent p.
?

Accepted Answer

A) x = 532p + 62.58 
B) x = -38p - 62.58 
C) x = $- \frac { 1 } { 38 }$ p + 62.58 
D) x = -38p + 62.58 
E) x = 14p + 62.58

Question 18

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0)and (0,b)is? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ . ?
X-intercept: (3,0)
Y-intercept: (0,9)
?

Accepted Answer

A)  $3 x + 9 y - 27 = 0$ 
B)  $9 x + 3 y - 27 = 0$ 
C)  $3 x + 9 y + 27 = 0$ 
D)  $9 x + 3 y + 27 = 0$ 
E)  $$9 x - 3 y - 27 = 0$$

Question 19

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$y = x - 3$$ ?

Accepted Answer

A) ?  m = -1
Y-intercept: (0,3) 
B)   m = 1
Y-intercept: (0,-3) 
C)   ? m is undefined.y-intercept: (0,3) 
D) ?  m = 3
Y-intercept: (0,3) 
E) ?  m = -3
Y-intercept: (0,-3)

Question 20

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$y - 3 = 0$$ ?

Accepted Answer

A)   m = -3
Y-intercept: (0,-3) 
B)   m = 0
Y-intercept: (0,3) 
C)   m is undefined.There is no y-intercept. 
D)   m = 0
There is no y-intercept. 
E) ?  m = 0
There is no y-intercept.

Exam 3: Linear Equations in Two Variables

Find the slope of the line passing through the pair of points. ? (14,0) , (0,-3) ?

Draw the line using the slope and y-intercept. Y + 1 = 2x

Find the slope of the line passing through the pair of points. P(-4,3) ;Q(2,-9) .

Find the slope of the line passing through the pair of points.? $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$ ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = $\frac { 1 } { 3 }$ x - 4 L2: y = $\frac { 1 } { 3 }$ x - 3 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ? P(0,-7) ,m = 8 ?

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0) and (0,b) is ?? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ ? X-intercept: (-3,0) Y-intercept: (0,8) ? ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the line.? $y = - \frac { 1 } { 6 } x + 6$ ?

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? $3 x - 5 = 0$ ?

A school district purchases a high-volume printer,copier,and scanner for $20,000. After 10 years,the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use. ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = $\frac { 9 } { 2 }$ x - 9 L2: y = - $\frac { 2 } { 9 }$ x - 2 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? $\mathrm { P } ( - 7,6 ) , m = - 3$ ?

Find the slope of the line passing through the pair of points. P(5,4) ;Q(9,20) .

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $\frac { 5 } { 100 }$ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0) and (0,b) is? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ . ? X-intercept: (3,0) Y-intercept: (0,9) ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? $y = x - 3$ ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? $y - 3 = 0$ ?

Exam 3: Linear Equations in Two Variables

Find the slope of the line passing through the pair of points. ? (14,0) , (0,-3) ?

Draw the line using the slope and y-intercept. ​ Y + 1 = 2x ​

Find the slope of the line passing through the pair of points. ​ P(-4,3) ;Q(2,-9) . ​

Find the slope of the line passing through the pair of points.? P(19,2) ;Q(2,19) \mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 ) P(19,2​) ;Q(2​,19) ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = 13\frac { 1 } { 3 }31​ x - 4 L2: y = 13\frac { 1 } { 3 }31​ x - 3 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ? P(0,-7) ,m = 8 ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the line.? y=−16x+6y = - \frac { 1 } { 6 } x + 6y=−61​x+6 ?

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​ The line has a slope of m = 134. ​

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? 3x−5=03 x - 5 = 03x−5=0 ?

A school district purchases a high-volume printer,copier,and scanner for $20,000. After 10 years,the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use. ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = 92\frac { 9 } { 2 }29​ x - 9 L2: y = - 29\frac { 2 } { 9 }92​ x - 2 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? P(−7,6) ,m=−3\mathrm { P } ( - 7,6 ) , m = - 3P(−7,6) ,m=−3 ?

Find the slope of the line passing through the pair of points. ​ P(5,4) ;Q(9,20) .​ ​

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is 5100\frac { 5 } { 100 }1005​ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? y=x−3y = x - 3y=x−3 ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? y−3=0y - 3 = 0y−3=0 ?

Draw the line using the slope and y-intercept. Y + 1 = 2x

Find the slope of the line passing through the pair of points. P(-4,3) ;Q(2,-9) .

Find the slope of the line passing through the pair of points.? $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$ ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = $\frac { 1 } { 3 }$ x - 4 L2: y = $\frac { 1 } { 3 }$ x - 3 ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the line.? $y = - \frac { 1 } { 6 } x + 6$ ?

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? $3 x - 5 = 0$ ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = $\frac { 9 } { 2 }$ x - 9 L2: y = - $\frac { 2 } { 9 }$ x - 2 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? $\mathrm { P } ( - 7,6 ) , m = - 3$ ?

Find the slope of the line passing through the pair of points. P(5,4) ;Q(9,20) .

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $\frac { 5 } { 100 }$ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? $y = x - 3$ ?

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.? $y - 3 = 0$ ?