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

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Question 79376: write an equation in the slope-intercept form of the line passing through the points (3,-12)(-1,4) Click here to see answer by tutorcecilia(2152)

 Question 79429: (2,1) and (-2,-4) find the equation of the line. Click here to see answer by funmath(2925)

 Question 79404: How do you graph this equation with at least 5 plotted points? x-2y=6 Click here to see answer by checkley75(3666)

 Question 79398: please help me with these problems. Write the equation of the line passing through each of the given pairs, write your result in slope-intercept form, when possible. (-1,3)and (4,-2) (2,-3)and (2,4) Thank you for your help Click here to see answer by checkley75(3666)

 Question 79438: Complete the ordered pairs so that each is a solution for the given problem: 3x+4y=12 (_,0),(8/3,_) Click here to see answer by funmath(2925)

 Question 79457: Graph the following including the axis of symmetry, identify the axis of symmetry, and create a suitable table of values x on one side and y on the other. y = -x + 1 Click here to see answer by stanbon(57940)

 Question 79456: Graph the following including the axis of symmetry, identify the axis of symmetry, and create a suitable table of values x on one side and y on the other. y = 2x^2 Click here to see answer by stanbon(57940)

 Question 79446: 3x+4y=12 (0, ),( ,3/4),( ,0),(8/3, ) Complete the ordered pairs so that eachis a solution for the given equation Click here to see answer by stanbon(57940)

 Question 79454: Graph the following including the axis of symmetry, identify the axis of symmetry, and create a suitable table of values x on one side and y on the other. y = x^2 - 4x Click here to see answer by stanbon(57940)

 Question 79513: The cost of producing a number of items x is given by c=mx+b, in which b is the fixed cost and m is the variable cost ( the cost of producing one more item. a)If the fixed cost is \$40 and the variable cost is \$10, write the cost equation. Click here to see answer by stanbon(57940)

 Question 79543: Can someone please help me with this problem? It is due today. Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in evevation by thr time he is 3.25 mi horizontally away from the top of the mountain. Find the slop of his descent to the nearest hundredth. Click here to see answer by stanbon(57940)

 Question 79544: Can someone please help me with this problem? It is due today. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost \$10,000 to produce and that 300 items will cost \$22,000 to produce. find the equation that relates C and x Click here to see answer by stanbon(57940)

 Question 79562: ok I have to write and equation in slope-intercept form for the line passing through each pair of points. (9,-1)and(6,-2) Click here to see answer by stanbon(57940)

 Question 79505: 2x+y+4=0 x-y+2=0 Note to student: i have changed your equations by adding =0 to each one. There is no other way to have a linear equation - in an equation there is always an equal sign. Click here to see answer by erimir(14)

 Question 79607: Does anyone have any idea what this problem means? Any help would be appreciated! Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 • 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2). • v0 is the initial velocity (how hard do you throw the object, measured in feet per second). • s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0. a) What is the function that describes this problem? Answer: b) The ball will be how high above the ground after 1 second? Answer: c) How long will it take to hit the ground? Answer: d) What is the maximum height of the ball? Answer: Show work in this space. Click here to see answer by stanbon(57940)

 Question 79619: Find the slope of the line given by -4x + 2y =11 Click here to see answer by doctor_who(15)

 Question 79644: The difference between three times a number and another number is 2. Their sum is 6. Write a system of equations. Then solve for the numbers by graphing the equations. Click here to see answer by sprolden(40)

 Question 79676: Can anyone make any sense out of this problem? I don't understand at all the statements about calculus and/or how it would even look or where I would even begin. Any suggestions? The perimeter = 2L +2W = 400 or L+W = 200 The area = LW so if you substitute for L you get (200-W)W = A or A = 200W -W^2 If you're allowed to use calculus, you can show easily that the maximum area occurs when W = 100 which, of course, means that L = 100 and you have a square plot. If you can't use calculus, you can simply put in a value for W, calculate A, and keep trying until you find the maximum value for A. Click here to see answer by jim_thompson5910(28696)

 Question 79648: Hello,I'm having problems with some slope-intercept problems that I really need help with,The first one is,Write an equation in slope-intercept form of a line with the following characteristics:perpendicular to the graph of:2x-3y=12 and passes through (4,3).The next one is,Write an equation in slope-intercept form of a line with the following characteristics.Perpendicular to the graph of:y=3/2x-3 with a y-intercept of 5.The third one is,Write an equation in slope-intercept form of a line with the following characteristics:parallel to the graph of:-4x+3y=12 and passes through the origin.And the last one is,Change y=x-3 so that the graph of the new equation has a steeper,negative slope and the same y-intercept,thanks to whoever can help. Click here to see answer by checkley75(3666)

 Question 79724: Here is my problem. I have state the problem, as it has been put to us and just below it, I have shown what I have done to this point. I'm not sure I can get any more of it and make any sense with it. Can you help? Thanks in advance. When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. ) • Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation. • Search the Library and Internet. In the real world, where might these imaginary numbers be used? ax2 + BX + C = 0 Move terms containing A to the left and the others to the right. ax2 = - BX - C ax2 = - (-XB+C) Here Divide by X to isolate A. - A = + - (-XB+C) 2 X ax2 + BX + C = 0 Solution A = +- (-XB+C) ____ 2 X Click here to see answer by stanbon(57940)

 Question 79518: Hello out there,I have some point-slope problems that I need help with,the first one is,Write the point-slope form of the line that passes through (4,-1) with the slope of 2.The next one is,Write the point-slope form of the line that passes through (3,-3)and (5,1).The third one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=-3,(4,-1).And the last one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=0,(0,-3).Thank you to whoever can help. Click here to see answer by tutor_paul(490)

 Question 79766: Use FOIL to multiply: (4x – 9)(3x – 5) As you should already know, FOIL means, first-outer-inner-last multiply: F means to first multiply First terms, which are 4x and 3x and it = 12x^2 O means to secondly multiply the Outer terms, which are 4x and -5 and it= -20x I means to thirdly multiply the Inner terms, which are -9 and 3x and it= -27x L means to lastly multiply the Last two terms, which are -9 and -5 and it= 45 Now you have come up with the solution, 12x^2-20x-27x+45 since you have two variables(-20x and -27x) that are alike you may add them together. The outcome should be 12x^2-47x+45 is the solution to the product of those two binomials. 6. Multiply: (x4 + 3x2 – 1)(x2 – x + 2) I am going to introduce to you the vertical method for this one. In the vertical method, you simply multiply the equations as you would do any other math multiplication problem.(Set the problem up as if were a regular problem as demonstrated below): x4+3x2-1 x2-x+2 --------- 4x4+6x2-2 x5-3x3+1x + x6 +3x4-1x2 ---------------------- x6+x5-3x3+x+7x4+5x2-2 this is your product. now all you have to do is put your equation in order from least to greatest by exponents in this case because sometimes its by varibles. x6+x5+7x4-3x3+5x2+x-2 Click here to see answer by ankor@dixie-net.com(15745)
 Question 79766: Use FOIL to multiply: (4x – 9)(3x – 5) As you should already know, FOIL means, first-outer-inner-last multiply: F means to first multiply First terms, which are 4x and 3x and it = 12x^2 O means to secondly multiply the Outer terms, which are 4x and -5 and it= -20x I means to thirdly multiply the Inner terms, which are -9 and 3x and it= -27x L means to lastly multiply the Last two terms, which are -9 and -5 and it= 45 Now you have come up with the solution, 12x^2-20x-27x+45 since you have two variables(-20x and -27x) that are alike you may add them together. The outcome should be 12x^2-47x+45 is the solution to the product of those two binomials. 6. Multiply: (x4 + 3x2 – 1)(x2 – x + 2) I am going to introduce to you the vertical method for this one. In the vertical method, you simply multiply the equations as you would do any other math multiplication problem.(Set the problem up as if were a regular problem as demonstrated below): x4+3x2-1 x2-x+2 --------- 4x4+6x2-2 x5-3x3+1x + x6 +3x4-1x2 ---------------------- x6+x5-3x3+x+7x4+5x2-2 this is your product. now all you have to do is put your equation in order from least to greatest by exponents in this case because sometimes its by varibles. x6+x5+7x4-3x3+5x2+x-2 Click here to see answer by AmberLRO(1)

 Question 79782: Find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C (5,-2)and(3,7) Click here to see answer by jim_thompson5910(28696)

 Question 79751: If the company shipped a total of 550 items last month, how many were shipped using second-day air freight? NEXT DAY AIR FREIGHT WAS 15% AND TRUCK WAS 45% AND SECOND DAY WAS 40% Click here to see answer by checkley75(3666)

 Question 79731: You invested \$10,000 in two stocks paying 9% and 12% annual interest, respectively. At the end of the year, the total interest from these investments was \$930. How much was invested at each rate? Click here to see answer by checkley75(3666)

 Question 79795: A professor stared a project with a group of students, 60% of whom were boyus. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boxys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially. Click here to see answer by ankor@dixie-net.com(15745)

 Question 79800: what is the slope of the line with the equation 2x+3y+6=0? Click here to see answer by rapaljer(4667)

 Question 79811: Graph the linear equation by finding and plotting its intercepts. Please help me slove this problem 6x-18y=0 I came up with 6x-18y=0 6(0)-18y=0----- 6x-18(0)=0 0-18y-0----- 6x-0 =0 y=0----- x=0 (0,0) ------- (0,0) PLEASE TELL ME IF THIS IS WRONG, I NEED THIS BY SUNDAY AM -THANK YOU Click here to see answer by rapaljer(4667)

 Question 79821: How do you find the slope of y=4/3x+-2? Click here to see answer by mathgeek101(2)

 Question 79810: If y varies directly with x, and y = 280 when x = 400, find the constant of variation k. Click here to see answer by bucky(2189)

 Question 79794: Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of \$130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received \$4. more as interest. How much amount did each of them invest at different rates Click here to see answer by ankor@dixie-net.com(15745)

 Question 79886: write the equation in slop=intercept form of the line that passes through the points 13. (5,-6) (1,-7) 14. (6,-3) (-1,9) Click here to see answer by checkley75(3666)

 Question 79885: write the equation in standord form of the horizontal and veritcal lines that pass through the point. 17. (2,4) 18. (-5,4) please help me these problems have been hunating me for days Click here to see answer by funmath(2925)

 Question 79945: I'm trying to find the x-andy-intercepts to grah the linear equation. I appreciate any help! Click here to see answer by 303795(595)

 Question 79918: Find the slope of the line passing through the points (7, 2) and (–2, 2). Click here to see answer by vertciel(183)

 Question 79989: write a linear equation in the slope interception form for the line with the given slope and y intercept #23 m=4, b=2 Click here to see answer by vertciel(183)

 Question 79978: Here are my questions there are only 3 I couldnt delete the extras I only need one thru three which are due Monday. Thanks 1. Simplify and evaluate: (x7y-4z0/5-2x3y-8z-9)2 2. Convert to scientific notation (here you may use x as multiplication): 0.00452 3. For f(x) = 5x – 4, find f(-1). 1. Simplify and evaluate: (x7y-4z0/5-2x3y-8z-9)2 2. Convert to scientific notation (here you may use x as multiplication): 0.00452 3. For f(x) = 5x – 4, find f(-1). Here are my questions i need help with they are due monday and i need a break down so i can learn the process for solving. Thank you Click here to see answer by ankor@dixie-net.com(15745)

 Question 80003: Find the values of x and y that solve the following system of equations: 3x+5y=10 -4x-9=-18 Click here to see answer by vertciel(183)

 Question 79926: x -2 -1 0 1 2 y .111 .333 1 3 9 Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function (I am having trouble posting the table, but I think this makes sense). Problem, I have no idea what to do with it. Can anyone help me? Click here to see answer by Edwin McCravy(8999)

 Question 78824: Solve each system by the substitution method. Determine whether the equations are independent, dependent, or inconsistent. Problem #26 y = x + 4 3y - 5x = 6 Click here to see answer by sofiyacherni(99)

 Question 79879: hi i have been trying to do these equations for such a long time and i just cant do it please help me Write an equation of the line that is parallel to the given line and passes though the given point. 10. y= -3x+2 (2,3) 11. y=1/2x - 5 (-3,-1) Click here to see answer by scott8148(6628)