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

Tutors Answer Your Questions about Linear-equations (FREE)

Question 67471: I am having a hard time understanding constants. Here is my problem: Determine the constant k so that the graph of 3x+(k-1)y=k+1 will have slope 5.
Thank you.
Click here to see answer by ankor@dixie-net.com(15639)

Question 67499: I have been given a function table and have to come up with a formula. The input (x)is sometimes given, and the output(y) is sometimes given. This is what I have: (1, 8), (2, 14),(3,y), (x, 24), (x, 28), (6,y). I noticed the difference between the output goes from +6 to +4. I think the value of y when x=3 is 18. I also think the values of x increase by one each time. I have come up with two formulas: If x is even, the formula is (x * 5) + 4. If x is odd, the formula is (x * 5) + 3.Is it valid to have two formulas? Or do I have to show the odd and even numbers some other way?
Click here to see answer by stanbon(57250)

Question 67583: please help me solve this question; Determine the number of simultaneous solutions of x-2=3 and 4x+8y=10 answers to choose from are one, two, no solution, infinitely many solutions or none of the above.
Click here to see answer by ybalkas(3)

Question 67589: to draw and label axis
plot and label x+y=4
y=2x-3
y=2-2x2=2
could you please help i am only 9 and its my first algerbra work
Click here to see answer by tutorcecilia(2152)

Question 67589: to draw and label axis
plot and label x+y=4
y=2x-3
y=2-2x2=2
could you please help i am only 9 and its my first algerbra work
Click here to see answer by checkley71(8403)

Question 67602: graph and check to solve the linear equations
y= -x + 3
y= x + 1
Click here to see answer by checkley71(8403)

Question 67806: How do you write equations in standard form.

Click here to see answer by ptaylor(2048)

Question 67837: This is a word problem my teacher made up for us. I am having trouble setting it up. Please help! "The difference of two numbers is 5. Twice the larger number is three times the smaller number. Find the two numbers."
Click here to see answer by stanbon(57250)

Question 67843: Solve the following sytem by substitution:
4x - 12y = 5
-x + 3y = -1
Thanks
Click here to see answer by tutorcecilia(2152)

Question 68080: What is the difference between dotted lines and solid lines in graphing equations?
Click here to see answer by stanbon(57250)

Question 68090: I am helping my 13 year old with his homework. Please tell me what slope is and how it is measured in general. We are using an Egyptian pyramid as a model.
Thank you !
Click here to see answer by stanbon(57250)

Question 68107: If three(3) times a number is greater than one half(1/2) by forty five(45). What is the number
Click here to see answer by Edwin McCravy(8882)

Question 68104: The area of a triangle is 105 centimeters. If the base is 14 centimeter. What is the height of the triangle
Click here to see answer by ptaylor(2048)

Question 68128: Find the slope.
3x + 4y = 5
I have not been able to understand the slopes and I am having trouble solving this problem because I do not understand how to find slopes. Can someone help me with this. Thanks
Click here to see answer by josmiceli(9661)

Question 68132: If the inventor charges $4 per unit, then her profit for producing and selling
x units is given by the function
P(x) = 2.25x - 7000
A what is her profit if she sells 2000 units?
b what is her profit if she sells 5000 units?
c what is the break-even point for sales?
Please instruct me on how to solve this problem
Click here to see answer by Edwin McCravy(8882)

Question 68131: if f (x) = 4x-3, find the following
f (-1)
These are function notation problems.
Please help
Thank You
Click here to see answer by Edwin McCravy(8882)

Question 68136: how can i solve and understand
a+b+c=180(for b)

Click here to see answer by funmath(2925)

Question 68130: rewrite each equation as a function of x
-3x+4y= 11
Please help with this equation
Thanks
Click here to see answer by funmath(2925)

Question 68064: When a line passes through the graph's origin, does it go through two intercepts or one?
Click here to see answer by stanbon(57250)

Question 68129: evaluate each function for the value specified
f(x)=x^2-7x+10, find (a)f(0),(b) f(5), and (c) f(-2)
Please help this relates to the function notation, I dont
understand how to do this problem.

Click here to see answer by funmath(2925)

Question 68143: rewrtie each equation as a function of x
-3x+4y-11
Please help me to do this
thanks
Click here to see answer by stanbon(57250)

Question 68146: What is the slope, x-intercept, and y-intercept of the following line?
3x + 4y = 9
Click here to see answer by funmath(2925)

Question 68162: The table lists the average tution and fees at public colleges and universities for selected years.
Year 1985 1990 1995 1999 2004
Tuition and
Fees ($s) 1242 1809 2860 3356 5132
(a) Find the equation of the least-squares regression line that models the data.(b) Graph the data and the regression line in the same viewing window. (c) Estimate tuition and fees in 2006. (d) Use the model to predict tuition and fees in 2010.
I am really bad at this. Can you explain how you got the equation? How you got those exact numbers in (a)?
Click here to see answer by stanbon(57250)

Question 68160: Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible. Through (-2,0), perpendicular to 8x-3y=7.
Click here to see answer by checkley71(8403)

Question 68144: What is the slope of the following line?
x = 9.124
Click here to see answer by checkley71(8403)

Question 68145: What is the slope of the following line?
y = -7.921
Click here to see answer by funmath(2925)

Question 68124: Find the slope and y-intercept.
x = -4
a)Slope:0;y-intercept: (0, -4)
b)Slope: Undefined; y-intercept: (0, -4)
c)Slope: 0; y-intercept: none
d)Slope: Undefined; y-intercept: none
Any help with this problem would be helpful. Thanks
Click here to see answer by funmath(2925)

Question 68118: how do i solve this problem and check it? help please!!!!
Click here to see answer by funmath(2925)

Question 68218: x/5-x/4=1
Click here to see answer by checkley71(8403)

Question 68222: S=2pie rh+2pie rsquared for h
Click here to see answer by stanbon(57250)

Question 68088: X raised to the third plus 64
Click here to see answer by checkley71(8403)

Question 68248: Simplify the following.
2x^4 - 2x^2 + 4x - x^4 + 4x^2 - 2x + 5
Click here to see answer by funmath(2925)

Question 68252: how can i know wheter the graph of the following equation is parallel, perpendicular, or neither. thank you.
2x+3y=4
3x+2y=6
Click here to see answer by stanbon(57250)

Question 68249: Multiply
(x + 2y)^4
Click here to see answer by stanbon(57250)

Question 68292: Find the slope of the line passing through the points (–8, –3) and (–2, 2).
Thanks!
Click here to see answer by funmath(2925)

Question 68356: how can i work this out?
The length of a rectangular playing field is 5 ft less than twice its width.
If the perimeter of the playing field is 230 ft, find the length and width of the field.
Click here to see answer by checkley71(8403)

Question 68354: how do i work this out??
A bus leaves a station at 1 P.M., traveling west at an average
rate of 44 mi/h. One hour later a second bus leaves the same station, traveling
east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by checkley71(8403)

Question 68387: x + x(.12)= 10,000
Click here to see answer by checkley71(8403)

Question 68135: Multiply (x + 2y)^4
Click here to see answer by CrazyMan Jr.(21)

Question 68345: Determine the equation of the line.
The Line is parallel to the x-axis and passes through the point (1/5, -4)

Click here to see answer by rmromero(383)

Question 68353: can you please show me how to work this out?
Patrick drove 3 h to attend a meeting. On the return trip,
his speed was 10 mi/h less and the trip took 4 h. What was his speed each way?
Click here to see answer by ankor@dixie-net.com(15639)

Question 68441: An inheritance of $24,000 is to be divided among three trusts, with the second trust received twice as much as the first trust.The three trust pay interest at the rates of 9%,10%,and 6% respectively,and return a total in interest of $2210 at the end of the first year.How much was intvested in each trust?
Click here to see answer by anuttam(1)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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