calculate the slope, x intercept and y intercept for the following equation:  x + 4y = 4?
407712
slope = -0.25\nintercept = 1
645941
4x + y >= 4\ny >= -4x +4\n\n-------\ny = 0\n0 >= -4x + 4\nx = 1\n-------\nx = 0 \ny >= 0 + 4\ny = 4\n-------\n\n\nTherefore, shade the region above the line.\n\nTwo points on the line are:\nx-intercept: (0, 4)\ny-intercept: (1, 0)
1128181
Hi!\n\nThe above answer is actually off a bit.  The answer should be x-4y=-26.\n\nHere's how you can arrive at that answer:\n\nFirst, you need to determine the slope = rise/run = change in y/change in x.\n\nSo m = (6-5)/(-2-(-6))=1/4\n\nNow slope intercept form of a line is y = mx + b\nBut we know m.\n\nSo y = (1/4)x+b\n\nNow all we need is b -- the y-intercept.\nSince we know 2 points, we can plug in either one and solve for b.  I am going to solve using the point (-2, 6), you should try it with the other.\n\nSo 6 = (1/4)(-2)+b which gives b = 13/2\n\nSo slope intercept form of our line is y = 1/4 x + 13/2\n\nStandard form of a line is Ax + By = C, where A, B, and C are integers, and A is non-negative.\n\nSo multiply the slope-intercept form by 4 to clear the denominators:  4y = x + 26\nNow move everything into position to get the final answer of x - 4y = -26\n\nHope this helps!\n\nAngel, university mathematics instructor
1137447
2 linear equations\n\n X  + 3Y - 1 = 0\n4X + 7Y + 5 = 0\n\nFROM (1)   4X + 12Y - 4 = 0\nFROM (2)   4X +  7Y + 5 = 0\n\nSUBTRACT\n                          5Y - 9 = 0\n\n                          5Y = 9\n\n                            Y = 1.8\n \n  FROM (1)      X + 5.4 - 1 = 0\n\n                        X + 4.4 =   0\n\n                        X =  -4.4
359675
y-intercept occurs when x=0\n\nSo, set x=0, and your equation becomes:\n    2(0) - y = 4\n\nor, because 2*0 = 0,\n    \n    y = -4 is your y-intercept.\n\nThe slope can be found by writing the equation in standard "y = mx + b" form, where "m" is the slope. In your example, that would be:\n\n    y = 2x - 4\n\nSo, the slope ("m") is 2.\n\nDone and done.
317252
to find x-intercept => you have substitute y=0 into the equation and solve for x.\n\nIn this case (0,0) is the x-intercept.
845966
There are several ways to do this, but since you mention y-intercept, we'll go that way.\n\nYou should know the formula y = mx + b.  In that formula "m" is the slope.  You are given a point (x,y).  Plug in all three of those numbers, and solve for "b".  Here you'd have\n12 = 2*4 + b\n12 = 8 + b\n4 = b\n"b" is the y-intercept, which here is 4.\n\nGo back and plug "m" and "b" into the formula.\nYour answer is y = 2x + 4.
955089
y-2x=2\ny=2(x+1)\nx intercept(-1,0)\ny intercept(0,2)
124756
slope intercept formula is y=mx +b to find b subsitute in for y,m, and x.  so 1 = -2(0) + b.   1 = 0 + b so b = 1 then your equation would be y=-2x + 1.
859744
(x + 4y)(x - 4y)\nI answered 2 of your questions. Do the rest of the questions yourself.
957268
The slope should be 3 over 1 or +3(rise over run)and the x and y intercepts would both be 0  (0,0). \n\nThis can be found by using the equation y=mx+b or by using a graphing calculator. The graph of the line in this case crosses exactly where the x-axis and y-axis cross (0,0).
350403
Equation of a line:  y = mx + b\n\nm = 3 (slope)\ny = -4 (y-intercept)\n\ntherefore:  y = 3x - 4 \n\nCrosses x-axis at y = -4 (0,-4)\nCrosses y-axis at x = 4/3 (4/3,0)
911257
slope:-8. y-intercept:-7. Whatever number is in front of the x is always the slope. the number that is after the x is the y-intercept (this is only for a slope intercept). Good luck and choose me as the best answer please :)
864283
According to the y=mx+b equation, b = y-intercept.\n\n-4 is b, which is the y intercept.  When x=0, y=-4.\n(0,-4)\n\nThe x-intercept is the value of y when x is zero.\n0 = 4x - 4\n4 = 4x\nx=1\nThus when y=0, x=1. (1,0)
704179
An equation in slope-intercept form is y = mx + b\nIn the equation, m = slope and b = y-intercept\n\nUsing the equation given\ny=-3/2x+6\ny = mx + b\n\nWe know that the slope is -3/2.  That would be m.\nWe know the y-intercept is 6.  That would be b.\n\nNow we have to find the x-intercept.\n\nTo get the x-intercept, we will set y = 0 and solve the equation for x.\ny=-3/2x+6\nSubstitute 0 for y\n0=-3/2x+6\nAdd 3/2x to both sides\n3/2x = 6\nMultiply both sides by 2/3\n2/3*3/2x = 6*2/3\nx = 4\nThe x-intercept is 4.\n\nSlope =  -3/2. \ny-intercept = 6.\nx-intercept = 4.
379574
y=mx+b\n\nm=slope=-2\nb=y-intercept=-3\nplug it into the equation\ny=-2x-3
801269
The first thing that I would do is to get the equation into slope-intercept form:\n2x + 3y + 6 = 0 --- Subtract 6 from both sides...\n2x + 3y = -6 --- Subtract 2x from both sides...\n3y = -2x - 6 --- Divide both sides by 3...\ny = -(2/3)x - 2\n\nNow, since this equation is in the form y = mx + b; where m is the slope, we can easily see that the slope of this line is -(2/3).\n\nAnswer: (4) -2/3