What is slope of the line that passes through (2,2) (5,8)?
957874
(8-2) / (5-2) = 6 / 3 = 2
1093431
what is d2 here..if its line what is its equation?
247531
The general purpose straight line has the equation Y = mX.  If you know the slope (m) to get the equation of a line thru a given point, say (h,k) just substitute the slope for the m, (X-h) for the X, and (Y-k) for the Y.  E.g. a line with slope 2 thru (-5,7) has the equation (Y-7)=2(X+5).  Then do a little algebra to get the slope-intercept form;\nY=2X+17.\n\nIf slope is not given, but instead you have coordinates of two points, find the slope by dividing the difference between the Y coordinates of the points by that between the X coordinates.  It doesn't matter which point you subtract, as long as you do it the same way for both the X and Y coordinates.   Then use that slope with the coordinates of either one of the points as above to get the equation.\n\nIn the example given, you're apparently supposed to find a line thru (5,1) that intercepts the line Y=4X-7.  Any two lines will intercept somewhere, so two quick answers are X=5 or Y=-7!  You can substitute X=5 into the equation to get the point of intersection of the first: (5,13).  OR\n\nA line thru (5,1) parallel to the line y=4X-7 will have the same slope.  So its equation will be (Y-1)=4(X-5) or \nY=4X-19.\n\nA line thru (5,1) and perpendicular to the line y=4X-7 will have a slope that is the negative reciprocal of 4 = -1/4 or -0.25.  So its equation will be (Y-1)=(-0.25)(X-5) which simplifies to Y = -0.25X + 1.25 + 1 or Y = -0.25X + 2.25.\n\nThink about it.  Thinking always helps.  Yahoo won't be there for your tests.
562373
y = mx + b\n\nm is the slope (rise over run).  You have two coordinates (x1,y1) and (x2,y2).  Rise is y2-y1, Run is x2-x1.  So in your example, Rise = 6, Run = -5.  Slope = Rise/Run or -6/5\n\ny = -6/5x + b\n\nb is the y-intercept.\n\nPlugging in one of your coordinate x=3, y=-5\n-5 = -(6/5)(3) + b\nSolve for b and you have\nb = -5 + 18/5\nb = -25/5 + 18/5\nb = -7/5\n\ny = -6/5x -7/5\n\nTo double check, let's put in the second coordinate of x = -2, y = 1\n\n1 = -6/5(-2) -7/5\n1 = 12/5 - 7/5\n1 = 5/5\n1 = 1\n\nThis is consistent, so there is your answer:\n\ny = -6/5x -7/5
725779
when you multiply the 2 through on the right side of the equation you get:\ny = 2x-2+3\ny = 2x+1\nthe slope of this line is the number in front of the x.
903948
find the slopes of both lines and if there answers are opposite recipricals, then they are parrallel\n\nheres adn ex:\nslope = 2 and -1/2\n\nin other workds, if you multiply the two slopes, u should get -1
819241
the answer is 8.\nfinding the slope:\ny2-y1/x2-x1\nsub\n9-5/x-10 = -2\n4/x-10 = -2\nthe value that gives you -2 after dividing would be 8.
896619
slope is 2,  y intercept is  - 10
407712
slope = -0.25\nintercept = 1
317632
slope = 1/5\ny-intercept = 2\nx intercept = -10
1134198
Slope of the given line AB= [2-3]/[-2-2]= 1/4\n\nSlope of the required line= -1/4.\n\nThe required equation y= (-1/4)*x + constant.\n\nInfact this is the equation for family of lines which met the above condition.
965470
The answer is neither. If they are parallel they must have the same slope and if they are perpendicular the slopes cannot have the same sign. The slopes of the lines are both negative and unequal.\n\nfind the slopes of both lines.\n\n5x+2y =3\ny = (3-5x)/2 = -5x/2 +3/2\nslope 1 = -5/2\n\n2x+5y =8\ny= (8-2x)/5 = -2x/5 + 8/5\nslope 2 = -2/5
917007
Well, you need two points to define a line (or one point and a slope).  There are infinitely many lines through the point (7,5).  So just pick one:\n\ny=x-2\ny=2x-9\ny=3x-16\ny=4x-23\n...
1086560
f(-2) = 5. What's so difficult about this question?
115638
You can't.  f(3) = 2 doesn't fully define the function. Right now, you only have one point, (3,2). You need at least one other point, and then you can calculate the slope, assuming f(x) represents a line, by taking the difference in the values of f(x) and dividing it by the difference in the values of x.  Say for example you're also told f(5)=8.  Then the other point is (5,8), and the slope is (8-2)/(5-3)= 6/2 = 3.\n\nNow, if you mean the line f(x) = 2, the slope of that line is 0, i.e. a horizontal line, since the function is always 2 regardless of what x is.\n\nIf f(x) does not represent a line, iow you're doing a calculus problem, then you need to take the derivative of f(x), evaluate it at the point x=3, and that is the value of the slope of the tangent line at that point.
131507
the equation of a line passing through the point (x1,y1) with slope m is\ny-y1 = m (x-x1)\nIn your case the point (x1,y1) is (0,2), so\ny - 2 = -7/6 (x-0)\ny - 2 = -7/6 x\ny = -7/6x +2 -the slope-intercept form
892240
Slope is Y2 -Y1 divided by X2 - X1\n\nIn your example, Y2= 12\n                            Y2= -7\n                             X2= 0\n                            X1=-2\nSo... \n(12-(-7)) / (0-(-2))= 19 / 2 = 9.5\n\nThe slope of the line is 9.5