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

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Question 387629: Consider the lines y = 3x + 7 and x + 2y = -10
Are the lines parallel? Explain why by comparing the slopes of the lines.

Are the lines perpendicular? Explain why by comparing the slopes of the lines.

Do the lines intersect? Explain why.

Click here to see answer by gwendolyn(128)

Question 387607: Given the linear equation , find the y-coordinates of the points (-9, ), (-3, ), and (6,) please show work
Click here to see answer by Alan3354(69443)

Question 387640: I would like to know two things. How can you find the equation of a line, and what is the product of (a^2+2) and (4a^2-7)
Click here to see answer by Alan3354(69443)

Question 387574: I have a question here on graphs and part b asks to "evaluate g(-1) -4g(0)+g(4.5+g(5)"how do I go about solving this? What is it asking ? I understand every other part to the question.This is worth 4 marks
Click here to see answer by Alan3354(69443)

Question 387628: Consider the lines y = 3x + 7 and x + 2y = -10. Are the lines parallel? Explain why by comparing the slopes of the lines.
Click here to see answer by nerdybill(7384)

Question 387679: find an equation of the line containing the givin pair of points (-5,-6) (-3,-1)
Click here to see answer by stanbon(75887)

Question 387679: find an equation of the line containing the givin pair of points (-5,-6) (-3,-1)
Click here to see answer by rfer(16322)

Question 387706: Given the quadratic function f(x) = x2 � 12x + 36, find a value of x such that f(x) = 9.

Click here to see answer by Alan3354(69443)

Question 387712: Express in terms of i.

√-16 + √-36

Click here to see answer by user_dude2008(1862)

Question 387725: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
4a + 20b = 8
8a = -40b + 16

Click here to see answer by edjones(8007)

Question 387403: -4x^2-3x-(x-x^2+3)
Click here to see answer by robertb(5830)

Question 387150: how do you write an equation of the line that passes through the given point and is perpendicular to the given line?
(1,-1) y=3x+2
please an thank you
Click here to see answer by robertb(5830)

Question 387846: Find an equation of the line having the given slope and containing the given point. Express your answer in the form y + b or y = mx + b.
m = 0, (0, -7).
The equation of the line is y = _?
Click here to see answer by ewatrrr(24785)

Question 387848: Determine whether the graphs of the two lines are parrallel.
y + 5 = 2x
3x - y = -5
Are the graphs of the given equations parallel? Yes or No?
Click here to see answer by ewatrrr(24785)

Question 387850: Given the function k described by k(x) = x + 18, find each of the following.
k(0) = _?
k(-13) = _?
k(-5) = _?
k(6) = _?
k(b + 19) + _?
Click here to see answer by ewatrrr(24785)

Question 387842: Find the slope if it exists, of the line containing the pair of points.
(-14, -9) and (-15, -20).
The slope is: _?
Click here to see answer by rfer(16322)

Question 387840: Find the slope and y-intercept of the line. Write fractional answers in lowest terms. 2y + 7x + 6 = 11 + 7x.
The slope is: _?
The y-intercept is (0,_)?
Click here to see answer by rfer(16322)

Question 387965: Solve the problem.

Population of Mexico. In 2006 the population of
Mexico was 107.4 million. If Mexico's population
continues to grow at an annual rate of 1.43%, the
popluation in 2028 will be 107.4(1.0143) to the 14th power million.

a) find the population in 2020 to the nearest tenth of a million people.
I don't understand why the book says that in 2028 the exponent would be in the 14th power when its 22 years from 2006. On a sheet of paper, I wrote out 107.4 + 1.53582+107.4+1.53582...to the respective 20 years (which is 2006-2020) I need to figure out the correct expression. I can work out the expression once I figure out how to set the problem up. I thank you for any help you can provide.
Click here to see answer by jim_thompson5910(35256)

Question 388040: how do you find slope
Click here to see answer by solver91311(24713)

Question 388049: x/2=3y/5
How do i change this equation into standard form using only integers.
Click here to see answer by solver91311(24713)

Question 388103: For questions 9�10, write an equation for the line that is parallel to the given line and that passes through the given point.
9.
y = �5x + 3; (�6, 3)
Click here to see answer by rfer(16322)

Question 388110: write an equation for the line that is parallel to the given line and that passes through the given point. y = -1/2
x � 10; (0, �19)
Click here to see answer by rfer(16322)

Question 388251: Write an equation in slope-intercept form for a line with a slope of 1/10 and a y-intercept of -2
A. y=0.1x+200
B. y=0.1x+2
C. y=0.1x-20
D. y=0.1x-2
Thank you for your help!!!
God Bless and Happy Holidays!!!!
Click here to see answer by Alan3354(69443)

Question 387835: Find the slope and y-intercept of the line. Write fractional answers in lowest terms. 2y + 7x + 6 = 11 + 7x.
The slope is: _?
The y-intercept is (0,_)?
Click here to see answer by Fombitz(32388)

Question 388324: Find the Slope if it exists, of the line containing the pair of points.
(9,6) and (10,-9)
I am not 100% sure but i think the slope is 15/-1 Am I right?
Click here to see answer by jim_thompson5910(35256)

Question 388325: Solve
-21≤3x-8≤-7
I know that {x∣_≤x≤_}
Please fill in the blanks and help me understand how you came to the conclusion

Click here to see answer by jim_thompson5910(35256)

Question 388357: t-7=3 1/2+2t
Click here to see answer by stanbon(75887)

Question 388344: Describe a situation that could be modeled by a linear function but NOT direct variation.
Click here to see answer by robertb(5830)

Question 388414: what is the slope-intercept form of the standard form:
x/3+y/5=1
Click here to see answer by Alan3354(69443)

Question 388439: Write the equation y = -3x + 9 in standard form with integer
coefficients.

Click here to see answer by mananth(16946)

Question 388442: Referring to the Figure, write the equation of the vertical line through the point (0,3). Figure located at this cut & paste link http://ppstest2.com/images2/AL5005.jpg

Click here to see answer by vleith(2983)

Question 388441: Referring to the Figure, write the equation of the horizontal line
through the point (3,0). Figure located at this cut & paste link http://ppstest2.com/images2/AL5005.jpg

Click here to see answer by vleith(2983)

Question 388468: Can you please solve this equation with a show of work? I need to use this as an example for others. Im my textbook they will show a break down but then the exercises to work on are different.
4x+5=3(x-1)
Click here to see answer by ewatrrr(24785)

Question 388479: What is the graph of the system y>=0, 2x+3y<=9, and x+2>=y
Click here to see answer by ewatrrr(24785)

Question 388521: I am having difficulty solving this problem, its a little more complicated than the last. Please help.
5(y+1)+2=8(y-1)+3
Click here to see answer by stanbon(75887)

Question 388521: I am having difficulty solving this problem, its a little more complicated than the last. Please help.
5(y+1)+2=8(y-1)+3
Click here to see answer by ewatrrr(24785)

Question 388549: our class planned a holiday party for disadvantaged kids. Some of us baked cookies for the party. On the day of the party,we found we could divide the cookies into packets of two,three,four,five,or,six and have just one cookie left over in each case. If we divided them into packets of seven, there would be no cookies left over. What is the the least number of cookies the class could have baked?

Click here to see answer by jim_thompson5910(35256)

Question 388558: Referring to the figure, write an equation of the line shown in the graph.
The graph is located at this link:
http://ppstest2.com/images2/AL5004.jpg
I need these answers to be as straightforward as possible. No shown work is needed.
Click here to see answer by solver91311(24713)

Question 388665: y=2x+1
Click here to see answer by jim_thompson5910(35256)

Question 388664: i need to compare a yearly pass to a zoo versus a daily pass and determine which is most cost effective.I have to solve the system of equations algebraically and graph it as well. I need to include the mathematical operations used.
for example: the cost of a yearly membership to the zoo is $80.00 per family and the daily cost is $15.00 per adult and $5.00 for each child.
My hypothetical customer has 2 children and plans to attend approximately 24 times per year.
How should I word my equations? if y=total cost, then what is b? I think m stands for the daily cost, so x must = visits.
Help please.
Click here to see answer by jim_thompson5910(35256)

Question 388692: y=5+6x and 18x+3y=12
Click here to see answer by haileytucki(390)

Question 387402: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work. Submit your graph to the Dropbox
-3x-8y=24
Click here to see answer by Alan3354(69443)

Question 388824: Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form. Slope m=-5. passing through (7,4)
Click here to see answer by rfer(16322)

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, 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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, 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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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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, 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