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

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Question 412729: Use the graph of y = x^2 + 4x - 5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the equation, , using only the graph.

Answer:
Explain how you obtained your answer(s) by looking at the graph:
b) Does this function have a maximum or a minimum?
Answer:
Explain how you obtained your answer by looking at the graph:
c) What are the coordinates of the vertex in (x, y) form?
Answer:
d) What is the equation of the line of symmetry for this graph?
Answer:



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Question 413022: The width of a rectangle is 3ft less then the lenght. The Perimeter is 62ft. Find the lenght and the width of the rectangle
Click here to see answer by rfer(16322) About Me 

Question 413067: What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ?

Click here to see answer by shree840(260) About Me 
Question 413067: What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ?

Click here to see answer by rfer(16322) About Me 

Question 413101: Write a function rule to describe.
The selling price s(c) after a 45% markup of an item as a function of the stores' cost c.

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Question 413211: Write each equation in slope-intercept form. Then identify the slope and the y-intercept for each line: 2x-y=12

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Question 413301: I need to graph linear equations and I have isolated "y" but then I am drawing a blank as to where to go from there. How do you find the solution sets for 4x+y=16
Click here to see answer by rfer(16322) About Me 

Question 413343: How do i use the substitution method for
-3x+y=4
x+13y=22

Click here to see answer by algebrahouse.com(1659) About Me 

Question 413559: 1. How do I find the equation of the line passing through the point (1,1) and parallel to y=5x-6?
2. How do I find the equation of the line passing through the point (1,5) and parallel to 4x+7y=18?
Hello, I am having a very hard time with this coordinate geometry problem. Can anyone please help? Thanks so much!

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 413566: Hello, I am stuggling with this co-ordinate geometry problem. Any help is greatly appreciated!
Find the equation of the perpendicular bisector of the interval joining (-5,2) and (3,-4). Leave your answer in general form.
Thank you so much for your time and consideration!

Click here to see answer by ewatrrr(24785) About Me 

Question 413564: Hi, can anyone help figure out these two coordinate geometry problems?:
1) How do I find the equation of the line passing through (12,4) and perpendicular to y=3x+6? Leave answer in general form.
2) How do I find the equation of the line passing through (6,10) and perpendicular to 3x-4y=12? Leave answer in general form.
Thank you so much for your time! I have test on these tomorrow.

Click here to see answer by Alan3354(69443) About Me 

Question 413589: Decide whether the pair of lines is parallel, perpendicular or neither.
4x+3y=3
3x+4y=9
Here is what I have:
4x+3y=3
3y=-4x+3
y=-4/3x + 3/3 (= 1)
3x+4y=9
4y=-3x+9
y=-3/4x + 9/4
What would that make this and can you help explain the difference? I am pretty sure that parallel has the same slope and perpendicular is -1/x. I maybe be totally wrong, but I think it is neither.
Help would be appreciated.
Thank you much,
Jeffrey G

Click here to see answer by ewatrrr(24785) About Me 
Question 413589: Decide whether the pair of lines is parallel, perpendicular or neither.
4x+3y=3
3x+4y=9
Here is what I have:
4x+3y=3
3y=-4x+3
y=-4/3x + 3/3 (= 1)
3x+4y=9
4y=-3x+9
y=-3/4x + 9/4
What would that make this and can you help explain the difference? I am pretty sure that parallel has the same slope and perpendicular is -1/x. I maybe be totally wrong, but I think it is neither.
Help would be appreciated.
Thank you much,
Jeffrey G

Click here to see answer by Alan3354(69443) About Me 

Question 412566: Without graphing, determine whether the following pairs of lines are (a) parallel, (b) perpendicular, or (c) neither parallel nor perpendicular:
5x-6y=19
6x+5y=-30

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Question 413634: Will you please help me write an equation for in slope intercept that passes through given point and is parallel to the graph of the given equation.
(1,-3);y+2=4(x-1)
Thank You

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Question 20: Can a linear equation have two variables?
Click here to see answer by andkon(15) About Me 

Question 413711: -x + 4y = 8 use the intercepts to graph the equation
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Question 413879: What is the positive or negative slope of 8x + 3y=24?
Click here to see answer by richard1234(7193) About Me 

Question 414087: I am stuck on a problem, my teacher only wants me to use the Elimination method
6x-y=20
3x-y=7
I am getting
x=3 but when I substitute for x in the second equation I get
6(3) + y = 20
18 + y = 20
but I can't divide each side by 18 evenly, how do I solve for y?

Click here to see answer by ewatrrr(24785) About Me 

Question 414156: how do you graph y=1/8m+1
Click here to see answer by MathLover1(20849) About Me 

Question 414197: Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent
x+y=16
x-y=-2

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Question 414303: Points A(0, 2) and B(3, 20) lie on the graph of y = 6x + 2. Which of the following points is collinear with A and B
(4, -7)
(1, -2)
(-2, 10)
(0, -5)

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Question 414303: Points A(0, 2) and B(3, 20) lie on the graph of y = 6x + 2. Which of the following points is collinear with A and B
(4, -7)
(1, -2)
(-2, 10)
(0, -5)

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 414308: Points A(0, 2) and B(3, 20) lie on the graph of y = 6x + 2. Which of the following points is collinear with A and B

(-2, 14)
(1, 8)
(-3, 22)
(2, 12)

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Question 414312: The measure of Angle 2 = (3x -8) degrees and the measure of Angle 3 = (2y -17) degrees. What are the values for x and y
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Question 414375: the cost of cheese varies directly with the number of pounds bought.if 2 pounds cost $8.40,find the cost of3.5 pounds
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Question 414414: what is the slope of -3x + y= 0?

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Question 414421: m3 for m=3

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Question 414415: it costs 50 dollars plus 10 dollars per hour to rent a park pavillion. 1.write an equation in slope-intercept form that shows the cost y for renting the pavillion for x hours. 2.find the cost of renting the pavillion for 8 hours



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Question 414455: what is the slope of 2y+4x +9=10+4x
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Question 414471: is this function even odd or neither?
f(x)= -7 lxl + 3x^2 + 5

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Question 414536: I need help with fractions and solving linear equations. The problem is
Y+3/5x+2

Click here to see answer by stanbon(75887) About Me 

Question 414537: graph each equation using the slope and y-intercept
y=x+5

y=2x+5

Click here to see answer by mananth(16946) About Me 

Question 414550: Find the equation of the line that passes through (5,0) and has a slope of -2/3
Click here to see answer by algebrahouse.com(1659) About Me 
Question 414550: Find the equation of the line that passes through (5,0) and has a slope of -2/3
Click here to see answer by praseenakos@yahoo.com(507) About Me 
Question 414550: Find the equation of the line that passes through (5,0) and has a slope of -2/3
Click here to see answer by Gogonati(855) About Me 

Question 414593: Please help me solve this.
Use k as the constant of variation to write an equation to express each of the following relations.
a) The distance (d) in kilometers covered by train varies directly as its speed(s) in kilometer per hour.
b) The perimeter (P) of a regular pentagon varies directly as the length of a side(x).
c) THe commission (C) a salesman gets varies directly as the amount of his sales (S).
d) The circumference (C) of a circle varies directly as the diameter (d), What is the constant of variation?

Click here to see answer by Gogonati(855) About Me 

Question 414569: Please help me solve this.
Use k as the constant of variation to write an equation to express each of the following relations.
a) The distance (d) in kilometers covered by train varies directly as its speed(s) in kilometer per hour.
b) The perimeter (P) of a regular pentagon varies directly as the length of a side(x).
c) THe commission (C) a salesman gets varies directly as the amount of his sales (S).
d) The circumference (C) of a circle varies directly as the diameter (d), What is the constant of variation?

Click here to see answer by richard1234(7193) About Me 

Question 414595: kindly help me with this question

a) x -2, -1, 0, 1, 2
y 3, 5, 7, 9, 13
b) x -1, 9, 1, 2, 3
y 2, 0, -2, -4, -6
c) x 1, 0, 1, 2, 3
y -.08, 0, 0.8, 1.6, 2.4
d) x -2, -1, 0, 1, 2
y -0.2, 0.4, 1, 1.6, 2.2
please examine the tables where x has both negative and positive values. In what way does a table of values that represents a direct variation differ from one that does not?

Click here to see answer by stanbon(75887) About Me 

Question 413839: California's coastline is 106 miles longer than twice the coastline of Texas. It is also 473 miles longer than the coastline of Texas. Find the lengths of the coastlines of California and Texas.
Click here to see answer by Gogonati(855) About Me 

Question 414592: Please help me answer this question.
Determine the constant of proportionality in each of the following direct variations and find the unknown value of the indicated variable.
a) if y varies directly as x, and y=10 when x=5, find y when x=15.
b) If y varies directly as x, and y =5 1/4 when x=3, find x when y=20
c. if the constant of direct variation is 3.75, find x when y=10.
d) if y varies directly as x and the point (3,5) is on the graph of the equation describing the relation, find the equation of the variation

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Question 414676: What is the slope of the given line y=2x/3+4
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Question 414710: slope for -7x-8
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Question 414798: 17z=7z
cant even figure ut how to begin this problem let alone what the answer is. teacher says i make it harder than it is by over thinking it. please help

Click here to see answer by rfer(16322) About Me 
Question 414798: 17z=7z
cant even figure ut how to begin this problem let alone what the answer is. teacher says i make it harder than it is by over thinking it. please help

Click here to see answer by sudhanshu_kmr(1152) About Me 

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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