How do you figure out slope-intercept form?
831150
The slope-intercept form of an equation makes it very easy to graph the equation.\n\nYou say you already understand the rise over the run...that's m in the formula, the number in front of x.\n\nb is the y-intercept.  This is the value of y where the line crosses the y-axis, i.e., where x=0.\n\nSo, given an equation that looks like y=mx + b, for example\n\ny = 2x + 7\n\nTo graph the equation, first you mark the y-intercept, which would be (0, 7) in this case, and then you go up 2 (rise) and to the right 1 (run), and mark the point (1,9), which is (0+1,2+7).  Then draw a line through those two points and you're done.
42786
If X=0, then Y=5 (Y-intercept is 5)\nIf Y=0, then X=3\n\nPlot and you get, Slope = rise(y)/run(x) = 5/3
953419
The slope intercept form of the line is \n\ny = mx + b where m = slope and b = y-intercept\n\nSince (5, -3) lies on the line then\n\n-3 = 5m + b\n\nie 5m + b - 3 = o\n\nSo any line in which m = (3 - b)/5\n\neg b = -2, m = 1 So y = x - 2\nb = 8, m = -1 So y = 8 - x ....... and so forth\n\nGraphing m against b would give all the values of m, b that satisfy the given condition.
813958
We can use the point-slope form of the equation and then transform it into the slope-intercept form.\n\n(y - y1) = m(x - x1)\n(y - 2) = 4/3(x - 3)\ny - 2 = (4/3)x - 4\ny  =(4/3)x - 2.\n\nm = 4/3, b = -2\n\n3y = x - 3\ny = (1/3)x - 1\n\nThe slope m = 1/3
653148
All equations for a line will have the form:\n\ny = mx + b,\n\nwhere x & y are coordinates, m is your slope, and b is your y-intercept.\n\nTherefore, substituting in your slope and y intercept, you get:\n\ny = -2/3x + 4\n\nThis equation can then be used to graph the line, since given any x, the corresponding y can be found. :)
911563
Here's 2 examples:\n\n1.) Given point (2,2) and (3,3), find the function.\nStep 1: Find the slope.\nSlope = rise/run = (y2 - y1) / (x2 - x1) \n(3 - 2) / (3 - 2) = 1/1 = 1.\n\nStep 2: Given the slope, find the y intercept by trying to find a point (0, y) that fits the 2 points above, and the slope given.\nUse the slope formula: rise / run = 1\n(2 - y) / (2 - 0) = 1 = (2 - y) / 2 \n2 = 2 - y\n-y = 0\ny = 0\ny intercept = 0, 0\n\nStep 3: Once you have the slope, you can write it in slope intercept form:\ny = mx + b \nm = slope, b = y intercept\ny = 1x + 0, or y = x.\n\n2.) (a harder one) Given point (1,4) and (-3, 2), find the function.\nStep 1: Find the slope.\nm = rise/run = (y2 - y1) / (x2 - x1) \n(4 - 2) / (1 - -3) = 2/4 = 1/2 = .5\n\nStep 2: Given the slope, find the y intercept at (0, y)\nm = rise / run = 1/2\n(4 - y) / (1 - 0) = 1/2 = (4 - y) / 1 \n4 - y = 1/2\n-y = -3.5\ny = 3.5\ny intercept = 0, 3.5\n\nStep 3: Write it in slope intercept form:\ny = mx + b \ny = .5x + 3.5
564627
change the equation to slope intercept form\nsolve the equations for y\nx+2y=3\n2y= 3- x\ny= -x/2 + 3/2\nDo the same thing for the other formula\nthe form is\ny = mx + b\nAfter that just plug in numbers for x to get y
771990
y = mx + b is the slope intercept form, where m = slope\n\nso 2 is the slope in your example\n\nWith any equation for a line, there are 2 variables, x and y, representing the position on the x and y axis.  Given any line equation, you can manipulate it to get it into slope intercept form (y = mx + b), and m will be your slope.\n\nThe y-intercept is where the line crosses the y-axis (or where x = 0).  As you can see, if you put x = 0 in the equation, you will get:\n\ny = 0x + b\ny = b\n\nso when x = 0, y = b.\n\nHope this helps! :)
814480
The slope-intercept form of a line is\ny = mx + b, where m is the slope and b is the y-intercept.
863359
Slope = rise over run\n\nrise is change in y, run is change in x\n\nso rise = 9 - 6 = 3\nrun = -1 - (-3) = 2\n\ntherefore slope = 3/2\n\nSo using the slope intercept form:\n\ny = mx + b\ny = 3/2x + b\n\nwe plug in either point to solve for b (the y-intercept):\n\n6 = (3/2)(-3) + b\n6 = -9/2 + b\nb = 6 + 9/2 = 10.5\n\ny = mx + b where m = 1.5 and b = 10.5\n\ny = 1.5x + 10.5
306531
First, the slope is (delta y)/(delta X) = (-3)/2) = -3/2\n\nthe y intercept is +6  (interpolating back from \n(6,-3) ,(4,0),(2,3), (0,6)\n\nso the equation is Y=-3/2 X + 6\n\ngo from there and you have your answer.
905236
To write this in slope intercept form, we will put it in the form y=mx+b like you said.  \n\ny-6=0\n\nnow we add 6 to both sides and get\ny = 6\n\nFor slope intercept form, I always put the x in there.  No x in the equation is the same as 0x because 0 * x = 0.\n\ny = 0x + 6\n\nThis equation has a slope of 0.\n\nOn this equation, y will be equal to 6 no matter what x is.\n\nLet's do a few points to prove that this will be a horizontal line.\n\n(0,6)\n(1,6)\n(2,6)\n(3,6)\netc...\n\nIf you plot these points, you will see a horizontal line at 6.
771254
First, you use the point slope formula:\ny-y1=m(x-x1)\n\ny-2=3(x-0)\ny-2=3x\ny=3x+2\n\nStandard form:\nAx+By=C\n\nSubtract 3x on both sides:\n-3x+y=2\nThat's your standard form!
408060
To find the slope, you always have to set the equation as y=mx+b.  That equation is called the slope-intercept form.  "m" is the slope and b is the y-intercept.\nNow, to find the slope, try to get y alone.\n1. Subtract 2x from both sides.  You'll get: -8y=-2x+7\n2. Divide both sides by -8.  You'll get: y=(1/4)x+(-7/8)\nSo, the equation is y=(1/4)x-(7/8) and the slope is (1/4).
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 :)
929126
The first thing you want to do is find the slope. That is, the change in Y over the change in X (Rise over Run). Each of these points are in the cartisian coordiante system, thus (3,-7) and (-5,2) are of the form (x,y). So lets find the slope!\n(y1-y2)/(x1-x2)\nUsing (3,-7) and (-5,2)\n(-7-2)/(3+5)=(-9/8)\nYour slope is (-9/8)\nNext to find the intercepts you use the equation of slope intercept form, Y=mX+b where X and Y are points, m is the slope and b is the y intercept. We know the slope and some points so we need to solve for b., the y intercept. Lets use the point (-5,2).\n2=-5(-9/8)+b\n2=(45/8)+b\n(-29/8)=b\nSo the point for the y intercept is (0,-29/8)\nNow we want to find what x is when y is zero for the x intercept. \nAgain use Y=mX+b but this time we know what b is. Set y=0. \n0=X(-9/8)+-29/8\n29/8=X(-9/8)\n29/-9=X\nThus, the x intercepts is (29/-9,0)
379574
y=mx+b\n\nm=slope=-2\nb=y-intercept=-3\nplug it into the equation\ny=-2x-3