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

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Question 1153526: i need some help find the slope and reduce p= (3/4, 1 1/4) q=(-1/2,-1) find the slope of pq
Click here to see answer by MathTherapy(10552)

Question 1153596: Determine the intersection of lines 2x+3y-15=0
and x= 2+3t
y=-6-2t
Click here to see answer by Alan3354(69443)

Question 1153599: Given the line defined by the equation
x=2-5t
y=3+6t
a.does the point (8,-3)lie on the line ?
b.determine the scalar equation of the line
c.find the shortest distance from the line to point (1,3)
Click here to see answer by Alan3354(69443)

Question 1153662: 14,600 is invested, part at 5% and the rest at 2%. If the interest earned from the amount invested at 5% exceeds the interest earned from the amount invested at 2% by $479.00, how much is invested at each rate? (Round to two decimal places if necessary.)
Click here to see answer by ikleyn(52781)

Question 1153597: Determine the intersection of lines
r1=(2,-1,-1)+ t(1,2,-1)and
r2=(-1,-1,1)+ u(-2,-1,1)
Click here to see answer by AnlytcPhil(1806)

Question 1153701: If 5 boxes of soap weight 75 kilos and box when empty weight 3 kilo how much is the weight of soap?
Click here to see answer by josgarithmetic(39617)

Question 1153691:
Click here to see answer by Alan3354(69443)

Question 1153598: determine the intersection of the lines r1=(-2,1,-3)+3(1,-1,-5) and
(x+3)/-1=(y)/2=(z-6)/3

Click here to see answer by ikleyn(52781)

Question 1153744: Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.
(8,6) (6,8)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1153791: The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
Click here to see answer by Alan3354(69443)

Question 1153791: The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
Click here to see answer by greenestamps(13200)

Question 1153954: Find the slope of the line: 2x - 5y = -14

Click here to see answer by MathLover1(20849)

Question 1153954: Find the slope of the line: 2x - 5y = -14

Click here to see answer by josgarithmetic(39617)

Question 1153953: Find f(3) when f(x) = -x + 5.

Click here to see answer by josgarithmetic(39617)

Question 1153953: Find f(3) when f(x) = -x + 5.

Click here to see answer by ramkikk66(644)

Question 1153953: Find f(3) when f(x) = -x + 5.

Click here to see answer by MathLover1(20849)

Question 1153957: Find the slope of the line going through the pair of points: (6.3, -9.4), (1.3, -4.4)
Click here to see answer by josgarithmetic(39617)

Question 1153957: Find the slope of the line going through the pair of points: (6.3, -9.4), (1.3, -4.4)
Click here to see answer by ramkikk66(644)

Question 1153959: Use the quadratic formula to solve: 7x2 = -12x - 2
Click here to see answer by MathLover1(20849)

Question 1153959: Use the quadratic formula to solve: 7x2 = -12x - 2
Click here to see answer by ikleyn(52781)

Question 1153976: Please graph the problem using slope-intercept method.
1. x = 3 - 3y
x + 3y = -6

Thank you
Click here to see answer by josgarithmetic(39617)

Question 1153976: Please graph the problem using slope-intercept method.
1. x = 3 - 3y
x + 3y = -6

Thank you
Click here to see answer by ramkikk66(644)

Question 1153976: Please graph the problem using slope-intercept method.
1. x = 3 - 3y
x + 3y = -6

Thank you
Click here to see answer by ikleyn(52781)

Question 1153962: Consider the following system of linear equations.
3x − 2y + z = 4
x + y − z = 2
x + z = 1
(i) Write the system in the form Ax = b.
(ii) Use the determinant to show that A is invertible.
(iii) Find the inverse of A using the Gauss-Jordan elimination.
(iv) Find the inverse of A using the determinant and the adjoint of A, i.e.,
A
−1 =
1
det(A)
adj(A).
(v) Comment on your answers in part (iii) and (iv).
(vi) Solve the system using the inverse matrix found in part (iv).
Click here to see answer by Edwin McCravy(20055)

Question 1154086: A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
TO BE CLEAR: I'm not asking to derive/pull out an equation since there is obviously no numbers or information to do so, I needed to find out features like the slopes or y-intercepts. general stuff. according to user ikelyn(29756), this question does not make sense and says there should be a "penalty to the author of this question!" (even though she was the one to misinterpret it.) so I'm asking the same question and clarifying what I need so this incident doesn't repeat itself.
thanks so much!
Click here to see answer by ikleyn(52781)

Question 1154205: Use an equation to find the value of k so that the line that passes through the given points has the given slope.
(−4,k), (6,−7); m=−one/fifth

Click here to see answer by josgarithmetic(39617)

Question 1154365: what is the percent of the fraction 22/30
Click here to see answer by ikleyn(52781)

Question 1154463: What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3?
Click here to see answer by Alan3354(69443)

Question 1154463: What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3?
Click here to see answer by josgarithmetic(39617)

Question 1154463: What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3?
Click here to see answer by ikleyn(52781)

Question 1154540: The points (2, 3), (3, 3) and (k, 1) all lie in a straight line.
a) Find the equation of the line .

Click here to see answer by Alan3354(69443)

Question 1154540: The points (2, 3), (3, 3) and (k, 1) all lie in a straight line.
a) Find the equation of the line .

Click here to see answer by josgarithmetic(39617)

Question 1154573: A roast chicken recipe calls for pre-roasting the chicken for a certain amount of time at a high temperature first, then reducing the temperature and roasting for an additional 18 minutes per pound.
Austin's 4.3 pound chicken took 88.4 minutes to roast.
How many minutes would it take to cook a chicken that was double in weight as Austin's chicken?

Click here to see answer by josmiceli(19441)

Question 1154617: Estimate the solution to the following system of equations by graphing.
3x+5y=14 and 6x-4y=9
Click here to see answer by Alan3354(69443)

Question 1154670: Lara buys a $500 sofa at a furniture store. She buys the sofa with her new credit card that charges 1.5% interest per month, with an offer for " no payments for a year."
a. What balance will Lara's credit card bill show after 6 months? Write a exponential expression and evaluate it.

Click here to see answer by Theo(13342)

Question 1154720: Write an expression that represents the total amount of gasoline used. A family has a hybrid car that gets 40 miles per galloon and a truck ath gets 17 mpg. They drive 500 miles per week using both vehicles but dont want to use more than 20 galloons of gas.
Click here to see answer by josmiceli(19441)

Question 1154729: Gabe Amodeo, a nuclear physicist, needs 60liters of a 40% acid solution. He currently has a 30 % solution and a 60 % solution. How many liters of each does he need to make the needed 6060 liters of 40% acid solution?
Click here to see answer by jim_thompson5910(35256)

Question 1154732: If a plane can travel 460 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
What is the speed of the wind? nothing mph
Click here to see answer by Alan3354(69443)

Question 1154734: If a plane can travel 460460 miles per hour with the wind and 400400 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
What is the speed of the wind? Mph
Click here to see answer by greenestamps(13200)

Question 1154883: Write a linear equation in the form "y = ______________" using the following information about the equation:

X-intercept of the equation: -2
Y-intercept of the equation: 3
Click here to see answer by MathLover1(20849)

Question 1154889: Write a linear equation in the form "y = ______________" using the following information about the equation:

X-intercept of the equation: -8
Y-intercept of the equation: 6
Click here to see answer by MathLover1(20849)

Question 1154910: Graph -7x+5y=35
Click here to see answer by greenestamps(13200)

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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, 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