Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

Tutors Answer Your Questions about Linear-equations (FREE)

Question 312597: How can I explain in 50 words that x=4 is a vertical line?
Click here to see answer by Alan3354(69443)

Question 312621: question1 what is the slope of, A(4,-6) B(4,-4)?
question2 what is the point of, A (2,6) B(-7,5)?
question3 what is the slope of, A(3,-7) B(-7,-7)?
question4 what is the point of A(7,-8) B(-2,-5)?
question5 what is the point of A(6,9) B(-5,1)?
Click here to see answer by JBarnum(2146)

Question 312669: Write an equation of the line containing the given point and perpendicular to the given line?
(2,9)8x+y=4 and (5,-9)4x+7y=8
Click here to see answer by texttutoring(324)

Question 312747: http://i46.tinypic.com/24ccmk4.png Use this graph to answer questions 28�29.
28. What is the equation for this line?
29. What is the slope of this line?
thank you Very much for your time,and help. :)
Click here to see answer by Fombitz(32388)

Question 312745: Find the slope of the line whose equation is px - qy = r
Click here to see answer by Fombitz(32388)

Question 312775: Which of the following relations is NOT a function? (2.0 points)
A) an ascending line
B) a descending line
C) a horizontal line
D) a vertical line
2.
An example of a joint variation, with y as the dependent variable would be __?__ (2.0 points)
A) y= 2xz
B) xy = 2
C) x/y = 2
D) square root of x/y = 2
3.
Which of the following is NOT an example of an Irrational Number? (2.0 points)
A) 4.2
B) square root of 5
C) 5.212573...
D) pi
4.
The name of an algebraic property and an example are given. Which one is incorrect? (2.0 points)
A) Distributive Property -> 4(x+3)=4x+12
B) Associative Property of Addition -> 4+(2+3)=(2+3)+4
C) Inverse Property of Addition -> 4+(-4)=0
D) Commutative Property of Addition -> 4+(2+3)=4+(3+2)
5.
When solving an equation like 2x+10=2(x+5), and, when simplified, you get x=x, 10=10, or 0=0, what is the solution for x? (2.0 points)
A) no solution
B) x=any real number
C) x=10
D) x=0
6.
Which of the following would be the inequality which expresses this graph?
(2.0 points)
A) x<5
B) x>5
C) x<=5
D) x>=5
7.
Which of the following inequalities is expressed by this graph?
(2.0 points)
A) -2 < x < 4
B) -2 <= x <= 4
C) -2 > x > 4
D) -2 >= x >= 4
8.
When solving for "a" in the equation , what mathematical operation is performed? (2.0 points)
A) subtract b squared from both sides of the equation and then square both sides of the equation
B) subtract b squared from both sides of the equation and then take the square root of both sides of the equation
C) take the square root of both sides of the equation and then subtract b squared from both sides of the equation
D) square both sides of the equation and then subtract b squared from both sides of the equation
9.
The equation C=3.14d is an example of a __?__ variation where the constant of variation, 3.14, is the approximation for pi. (2.0 points)
A) Direct
B) Inverse
C) Joint
D) Combined
10.
Which of the following is the inverse function of f(x)=2x-3?
In other words, find f -1(x). (2.0 points)
A) 2y-3
B) (x-3)/2
C) (x+3)/2
D) 2(x+3)
11.
In the graph, which of the following is NOT true?
(2.0 points)
A) m = 2
B) m = -2
C) b = 5
D) descending line
12.
Which of the following is an equation of a horizontal line? (2.0 points)
A) y=4
B) x=6
C) x+y=2
D) y=2x+3
13.
What is the equation of the x axis? (2.0 points)
A) x = 0
B) y = 0
C) x + y = 0
D) There is no equation

Click here to see answer by Fombitz(32388)

Question 312773: 1.
Match the number on the left with the proper combination of number types on the right. (5 points)
A. Real, Rational, Integer, Whole, Natural or Counting
B. Real, Rational, Integer, Whole
C. Real, Rational, Integer
D. Real, Irrational
E. Real, Rational
Sqrt 15 (Sqrt stands for the square root of a number)
15
5/4
-10
0
2.
Solve the equation for x.
4-3(x+1) = 2x (1.0 points)
A) x=-1
B) x=1/5
C) x=1
D) none of the above
3.
Solve the equation for x.
2x-7 = 2x+3 (1.0 points)
A) x=10
B) x=0
C) x=any real number
D) no solution
4.
Solve for x.
4-5x > -6 (1.0 points)
A) x>2/5
B) x<2
C) x>2
D) none of the above
5.
Solve for x.
3x-5 < 1 and -2x < 4 (1.0 points)
A) x<2 and x<-2
B) x<2 and x>-2
C) x<-4/3 and x<-2
D) none of the above
6.
Describe the graph of the solution to the combined inequality. 2x < -4 and 2x < 8 (1.0 points)
A) open dot on -2 & 4, and a line between them
B) open dot on -2 and arrow to the left
C) open dot on 4 and arrow to the left
D) none of the above
7.
Solve for B.
Ax + By = C (1.0 points)
A) B = Ax-C
B) B = (-Ax+C)/y
C) B = C - Axy
D) none of the above
8.
If y varies jointly as x and z, what is the expression for k? (1.0 points)
A) k=xyz
B) k=(xy)/z
C) k=y/(xz)
D) none of the above
9.
If f(x)= 2x-3 and g(x)= -4x, find g[f(-2)]. (1.0 points)
A) -56
B) 13
C) 28
D) none of the above
10.
Find the inverse of the function given.
f(x)= 3x+5 (1.0 points)
A) y=-3x+5
B) y=-3x-5
C) y=(x-5)/3
D) none of the above
11.
Find the slope and the y-intercept of the equation.
2x-3y = 6 (1.0 points)
A) m=2/3, b=6
B) m=2/3, b=-2
C) m=2, b=6
D) none of the above
12.
Write a line parallel to y = 2x-4 and passing through the point (2,3) (1.0 points)
A) y=(1/2)x-1
B) y=2x-3
C) y=2x-1
D) none of the above
13.
What is the slope of the line perpendicular to y =(3/4)x-7. (1.0 points)
A) -4/3
B) 3/4
C) 4/3
D) none of the above
14.
Match the example to the property it represents. (5 points)
A. Reflexive property of equality
B. Commutative property of addition
C. Distributive property
D. Inverse property of addition
E. Transitive property of equality
3+7+2=3+2+7
4+(-4)=0
3x=3x
If 3=5-2 and 5-2=6*(1/2) then 3=6*(1/2)
3(x-6)=3x-18
15.
If x varies directly as y, and x=1 while y=15, what is x if y=5 (1.0 points)
A) 1/15
B) 3
C) 1/3
D) none of the above
Click here to see answer by Fombitz(32388)

Question 312789: y=2/3x+2
(2,3)
Click here to see answer by unlockmath(1688)

Question 312837: What is the linear factor of 2x*-x-6?
*=2 (2x to the second power)
Thanks
Click here to see answer by solver91311(24713)

Question 312803: How would you find the slope containing the pair of points (4,7) and (8,-1)
Click here to see answer by rfer(16322)

Question 312802: A line passes through the point (4,-7) and has a slope of -4 . Write an equation for this line.

Click here to see answer by rfer(16322)

Question 312914: Solve
3y-1<8y-2
Use set-builder notation to describe the complete solution
{y|y___ ___}
I came up with > 1/5. Can someone tell me if this is correct and if not can someone please explain to me.
Thank you so much.
Click here to see answer by solver91311(24713)

Question 312913: The line through (3,2) with undefined slope.
Click here to see answer by checkley77(12844)

Question 312903: Solve
5(r-7)+4 >6(r+2)-24
The solution set is {r|r ___ ___}
If someone could please help me with this. I came up with <-19, but I am not sure how I did it - can you show me the work?
Thank you so much.
Click here to see answer by rfer(16322)

Question 312976: when math teacher say state the coordinates of the points d an e,an calculate the gradient of D and E how do i go by doing this?

Click here to see answer by nyc_function(2741)

Question 312907: Determine whether the ordered paid is a solution of the inequality
(-2,7) 4x + y<-6 =
4(-2 + 7 <-6 =
-8 + 7 < -6 =
-1 < -6
If this is correct then the ordered pair is a solution. That's if I did this right. Any help would be appreciated.
Click here to see answer by solver91311(24713)

Question 313034: hello my nam eis emerald and finals are tommorrow. my teacher gave me an answer sheet to the review, so i know the answer yet i dont know how to write it out and answer it can you help?
write the equation of the line that is parallel to the given line and passes through the given point.
y=-25x+9, (-1, -1).................the answer is y=-25x-26
Click here to see answer by solver91311(24713)

Question 313043: slope intercept form of 2x-y=-5

Click here to see answer by rapaljer(4671)

Question 313051: solve the system by the elimination method
5x + 5y = -11
7x - 3y = 17
The solution is?
Please show work if possible - I came up with 2 different answers for y
-81/25 or -162/31
Thank you for your help
Click here to see answer by stanbon(75887)

Question 313094: Please help me with this...i seem toget a different answer each time i have tried towork it.....
find the x and y intercepts. If there are no x intercepts state this
f(x) = x^2 +13x

i have worked it and come up with no x intercepts. just want to make sure that is correct
Click here to see answer by CharlesG2(834)

Question 313157: m=3/4, (7,-1)
the equation of the line is y=
Click here to see answer by texttutoring(324)

Question 313160: (1/4,-1/2)& (3/4,4)
what is the equation of the line?
y=
Click here to see answer by texttutoring(324)

Question 313160: (1/4,-1/2)& (3/4,4)
what is the equation of the line?
y=
Click here to see answer by solver91311(24713)

Question 313158: (-5,-3)& (-1,-2)
the equation of the line in slope-intercept form is y=
Click here to see answer by OmniMaestra(21)

Question 313186:
Find the coordinates of the x-intercept.
2x + y = -6
I'm not sure how to begin this one.....
Click here to see answer by nyc_function(2741)

Question 313128: how do you do this one....i have tried to come up with the equations and have had no luck
for the prob. you have to put it into a pair of linear equations in two variables then solve the equations using elimination or substitution..
Mrs. Boyd has a desk full of quarters and nickels. if she has a total of 25 coins with a total face value of 2.85 how many nickels would she have?

Click here to see answer by ankor@dixie-net.com(22740)

Question 313205: how do i solve 5x+3x=655
Click here to see answer by stanbon(75887)

Question 313206: Describe what the graph of interval [-4,10] looks like
Click here to see answer by nerdybill(7384)

Question 313212: how do i solve 5x+3y=655
Click here to see answer by stanbon(75887)

Question 313227: Is the equation of the data below linear or not?
x y
1 4
2 6
3 8
4 12
Click here to see answer by rapaljer(4671)

Question 313254: How do i solve and check this problem: 14-5x=-41?
Click here to see answer by stanbon(75887)

Question 313202: Suppose a small business computer system cost $5,400. Every year its value drops by $525
Click here to see answer by Fombitz(32388)

Question 313317: I need to find a point for the following problem:
y = 4/6x + 1/3
I know that 1/3 is the y-intercept but I need a whole number so I can graph.
Click here to see answer by Fombitz(32388)

Question 313201: Suppose a small business computer system cost $5,400. Every year its value drops by $525
Click here to see answer by Fombitz(32388)

Question 313488: if 9 and y have the same average as 3,6 and 27 what is the value of y?
Click here to see answer by Fombitz(32388)

Question 313488: if 9 and y have the same average as 3,6 and 27 what is the value of y?
Click here to see answer by nyc_function(2741)

Question 313346: Find the slope if any exists, of the line containging the pair of points (9,6) and (10,-8)
Click here to see answer by ankor@dixie-net.com(22740)

Question 313502: (5,-6);3x+2y=9
the equation of the line is y=
Click here to see answer by rfer(16322)

Question 313450: 4x+3y=-5
-9x+y =50
solve using the substitution method
Click here to see answer by rfer(16322)

Question 313501: (4,5);6x+y=5
the equation of the line is y=
Click here to see answer by Alan3354(69443)

Question 313500: (-7,6);2x=5y+6
the equation of the line is y=
Click here to see answer by Alan3354(69443)

Question 313499: (6,7);x+7y=2
the equation of the line is y=

Click here to see answer by Alan3354(69443)

Question 313526: What are some examples of perpendicular lines and parallel lines of the linear equation: 2x-5y=20 and how do you find/get that answer? Please explain thoroughly and use step by step. Thank you.
Click here to see answer by Alan3354(69443)

Question 313639: [6.02] For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?
2x + y = 9
−x − y = −8
−8 + y
−8 − y
8 + y
8 − y

Click here to see answer by stanbon(75887)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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