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

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Question 1076706: Find the area of the region under the graph of f on [a, b].
f(x) = x^2 − 2x + 3; [−1, 2]
Click here to see answer by Alan3354(69443)

Question 1076760: Write the slope-intercept form of the equation of the line through the given points. through: (-5, -3) and (-4, 4)
Click here to see answer by Boreal(15235)

Question 1076760: Write the slope-intercept form of the equation of the line through the given points. through: (-5, -3) and (-4, 4)
Click here to see answer by MathLover1(20849)

Question 1076770: Find the equation whose graph is the red line shown below. Write your answer in standard form. (Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor 1.)
Graph can be found at
https://latex.artofproblemsolving.com/7/4/c/74c5df86b7f00975450d79bdc41cd7a1f92e6039.png
Click here to see answer by MathLover1(20849)

Question 1076765: http://d2vlcm61l7u1fs.cloudfront.net/media%2F2ff%2F2ff98b44-8da2-4cd4-95cd-bda95195ebb0%2FphpWeF1V9.png
Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
Click here to see answer by Boreal(15235)

Question 1076705: Find the area of the region under the graph of f on [a, b].
f(x) = 5/x^2; [1, 4]
Click here to see answer by Alan3354(69443)

Question 1076879: You unevenly split 7200$ into two accounts paying 8% and 10% annual interest. At the end of the year, the accounts earn the same interest. Set up and solve a System of Linear Equasions to find out how much invested. (I need two equasions one being x + y = 7200 and the other being something else that lets me solve using SoLE addition or substitution
Click here to see answer by josgarithmetic(39617)

Question 1076932: Find an equation for the line perpendicular to the line 4x + 20y = 6 having the same y-intercept as −5x − 7y = 56
Click here to see answer by MathLover1(20849)

Question 1077077: Which of the given ordered pairs are solutions to x=3 (3,0),(3,-3),5,3)
Click here to see answer by josgarithmetic(39617)

Question 1077078: If the graph of 2x + Ky = 12 passes through point (0,6) find k
Click here to see answer by josgarithmetic(39617)

Question 1077126: Jodi is twice as old as Andrea. The difference in their ages is 21. How old is Andrea?
Click here to see answer by Alan3354(69443)

Question 1077130: A houseboat on a river traveled 48km upstream in 6h. It took the houseboat only 4h to make the same trip downstream.
a) How fast would the houseboat have traveled in still water?
b) How fast was the river's current?
Click here to see answer by jorel1380(3719)

Question 1077161: How do I graph y=4/3x+2

Click here to see answer by Alan3354(69443)

Question 1077166: For each function below, identify the Slope, Horizontal-intercept and Vertical-intercept
y=-5x+3
y=-2-8x
y=2x
y=1
x=8
Click here to see answer by Boreal(15235)

Question 1077129: Candace needs to make 500L of a 35% acidic solution. She has only two of the acidic solutions available, a 25% solution and a 50% solution. How many litres of each acidic solution should she mix?
Click here to see answer by josgarithmetic(39617)

Question 1077197: Suppose a video store charges nonmembers $4 to rent each video. A store membership cost $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

Click here to see answer by addingup(3677)

Question 1077257: how to solve the linear equations by graphing?
y=4x+2 y=x+17

Click here to see answer by josgarithmetic(39617)

Question 1077257: how to solve the linear equations by graphing?
y=4x+2 y=x+17

Click here to see answer by KMST(5328)

Question 1077334: The sum of three integers is 40. The first integer is four times the sum of the second and third. The second is twice the opposite of the third. What are the integers?
Click here to see answer by MathLover1(20849)

Question 1077331: An airliner traveling from Toronto to Vancouver took 5 h to cover the 3900km trip against a headwind. The return trip, traveling with a tailwind that was twice the speed of the headwind, took 4h and 20min.
a) How fast were the headwind and the tailwind on the two trips?
b) How fast would the airliner have flown without a wind?
Click here to see answer by josmiceli(19441)

Question 1077392: 2 part question. I have the first part of the question. I need help with the 2nd part.
How do you write a system of linear equations in two variables?
( 2nd part)Explain in words and by using mathematical notation in an equation. How do I explain in words?
Click here to see answer by Boreal(15235)

Question 1077539: X^2+3x-4=6
Click here to see answer by MathLover1(20849)

Question 1077589: Find a point on the line that is equidistant from
point (3,8) and (9,6)
Click here to see answer by josgarithmetic(39617)

Question 1077589: Find a point on the line that is equidistant from
point (3,8) and (9,6)
Click here to see answer by Edwin McCravy(20055)

Question 1077589: Find a point on the line that is equidistant from
point (3,8) and (9,6)
Click here to see answer by ikleyn(52781)

Question 1077645: Write the slope intercept form of the equation of the line through th3 given point with the given slope (-3,4,) slope = -1

Click here to see answer by math_helper(2461)

Question 1077660: The amount a spring will stretch varies directly with the mass attached to the spring. The spring stretches 12
cm when 8 kg is attached.
a. Create an equation that represents the relationship.
b. Create a labelled diagram of the relationship. Which variable is the dependent variable?
c. How far will it stretch when 11 kg is attached?
d. If a mass is attached to the spring and it stretches 42 cm, how much mass was there?
e. Why does it make sense that this relationship is direct variation?
Click here to see answer by Boreal(15235)

Question 1077672: How do you find the slope of the line y=4?
Click here to see answer by ikleyn(52781)

Question 1077692: William is designing a set of steps from his deck to the garden 2 m below. He knows that a comfortable
slope for steps is about 0.6. He wants the tread width to be 30 cm.
a. What should the height of each riser be?
b. How many steps will the staircase have? Be sure to give an integer answer and explain the effects
of your choice
Click here to see answer by Boreal(15235)

Question 1077661: William is designing a set of steps from his deck to the garden 2 m below. He knows that a comfortable
slope for steps is about 0.6. He wants the tread width to be 30 cm.
a. What should the height of each riser be?
b. How many steps will the staircase have? Be sure to give an integer answer and explain the effects
of your choice.
Click here to see answer by Boreal(15235)

Question 1077760: put in the form mx+b
-3x+8y=-9
Click here to see answer by Alan3354(69443)

Question 1077760: put in the form mx+b
-3x+8y=-9
Click here to see answer by josmiceli(19441)

Question 1077795: Slope of PQ=? P=(-8,3) Q=(-6,2)

Click here to see answer by Boreal(15235)

Question 1077834: setup a coordinate system on graph paper, then sketch the line passing through the point P with the slope m.
P(−3, 0), m = 3/4

Click here to see answer by josgarithmetic(39617)

Question 1077844: Equation for the line that passes through 1,-5 and has a slope of 3 (in point-slope form)
Click here to see answer by josgarithmetic(39617)

Question 1077845: the vertical line that passes through -7,4
and the horiszontal line that passes through -7,4
Click here to see answer by josgarithmetic(39617)

Question 1077917: how do you solve y=-2x

Click here to see answer by Alan3354(69443)

Question 1078093: Find the equation of the line passing through P(1,
6) with slope m =2/3
Write the equation in point-slope form.
Click here to see answer by MathLover1(20849)

Question 1078091: Find the slope of the line passing through the points P(11, - 4) and Q(13, - 6).
Click here to see answer by Alan3354(69443)

Question 1078106: Write and equation of a line that passes through the given point and is perpendicular to (1,-1), y = 3x+2

Click here to see answer by Boreal(15235)

Question 1078190: Is 2x-5y-5=0 and 3x-7y-2=0 dependent or independent
Click here to see answer by Alan3354(69443)

Question 1078271: The lines 3x + 4y = 12 and 3x + 4y = 72 are parallel. Find the distance
that separates these lines.
Click here to see answer by josgarithmetic(39617)

Question 1078296: following equations represents the line with a slope of 6/5 and a y-intercept of negative 1?
Click here to see answer by josgarithmetic(39617)

Question 1078318: The connection between the degrees of a celsius and fahrenheit thermometer is that x F(degrees)=(9x/5 +32) C(degrees)
What number of degrees celsius is the equivalent to 86 (degrees) fahrenheit?
I presumed that x would be replaced by 86 and then I multilplied out the fraction of 9x/5 and multiplied 32 by 86. The answer I got was -4. It seems the answer is 30 (degrees) but I'm stumped. Any help would be gratefully appreciated
Bren
Click here to see answer by ikleyn(52781)

Question 1078346: Find five solutions of the equation. Select integer values for x, starting with minus−2 and ending with 2. Complete the table of values below.
y equals 5 xy=5x

y=5x
Click here to see answer by Fombitz(32388)

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, 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045