I need to make a Y=Mx+B equation (without using a graph or table) Could you please walk me through (at least) one of these problems to help me? Thank you so much!\n\n(0.5, 6) and (0,4)\n\n(6,9) and (6,0)\n\n(-5, 2) and (3,2)
131223
M is the slope which you get by subtracting y coordinates and x coordinates IN THE SAME ORDER, and then dividing.  In your first example, change in y is 6-4 = 2, change in x is 0.5-0 = 0.5.  Then divide change in y by change in x, 2 by 0.5, to get M = 4.  \n\nThen pick one of the points, say the second.  y - 4 = 4(x - 0).  Then do just a little algebra.\ny - 4 = 4(x - 0)\ny = 4x + 4.\n\nSome special cases.  Your 2nd pair have the same x coordinate, so the line is vertical, and the equation is x = 6.  In your 3rd pair the y coordinates are the same so the line is horizontal, y = 2.\n\nSince the slope is a fraction, change in y over change in x, you need to be able to do fraction arithmetic.
529941
x+y=8\nx-y=-4\n______\n2x=4 (because +y and -y cancel out)\nx=2\nthen plug 2 in for x in one of the equations\n2+y=8\nsolve for y\ny=6\nordered pair is (2, 6)
173653
well, you really should do your own homework, but the answer is D. substitute 3 and 7 into the equation for the easy answer.......7=2(3)+1......but to know that, the equation is  y = mx + b. m designates the slope of the line, and b the y-intercept, that is b is the second coordinate of the point where the line crosses the y-axis
421466
ok this is really easy.  first off, a standard equation in linear form can have a negative coefficient on x.  that doesnt make it wrong, as long as its in y=mx+b format.  however, im assuming youre having trouble becauseyou have an equation where y= -x+b  again, this is fine, because its in the right form, just m= -1 (remember m is the slope.)  the site mentioning that x must be non negative is referring to something still beyond what im assuming are your capabilities, namely quadratics, polynomials, etc.  And the site you found is referring to using good form with the leading coefficient, where it is considered bad form to leave the leading coefficient negative. however, your teacher is being a pain.  he wants things in the generally accepted form, and its considered bad form to leave x with a negative coefficient (such as y= -x+b)  what he prefers you do is multiply (or divide, it all comes out to be the same thing, although if your teacher is going to be so nitpicky about good form he should use it himself, because its generally considered good form to multiply) by -1.  doing this just switches the sign on everything, so y= -x+b becomes -y=x-b
309103
Wonderful.\nTHis is some sort of simultaneous equation.\nAccording to the principle of this equation, we try to rationalize one term of the equation so as to get one unknown term. We can either try finding the x term or the y term. For your question as to find the y term.\n\nFirstly, we rationalize the x terms by multipling them by the inverts. then it will result to \n                                    12x + 20y = 32\n                                    12x + 18y = 39\nThe we apply the subtraction rule. ie. we multiply all the terms beneath by the negative (-) sign. This will result to \n                                    12x + 20y = 32\n                                   -12x - 18 = -39\nWe later subtract so as to attain\n                                2y = -7\nWe apply the law of linear equation by dividing both sides by the coefficient which in this case is 2.\n                              2y/2 = -7/2\nThis will eventually cancel the 2 in the first term therby leavin y alone. \n The answer will be in either of the following cases through simplification.  -7/2, -3 1/2 or -3.5
185081
As halibori says, you can use a graphing calculator and see where the lines cross.   I use a different machine, the one between my ears.   \n\nIf you add the two equations, the +3y in the first cancels the -3y in the second, leaving the equation  4x + x = -8 - 17, or 5x = -25.   This one's easy since the only unknown is x, and we see that x = -5.   Now\nwe can go back to the first equation, plug in the value -5 instead of x, and it becomes\n-20 -3y = -8, or -3y = 12, so we have that y = -4.
262197
Remember the y=mx+b form.\n\ncalculate the slope: m= y(1)-y(2)\n                        ---------\n                        x(1)-x(2)\n\nthen calculate the y-intercept (user either [x(1), y(1)] or [x(2), y(2)]\n\n              b = y - m(x)\n\nplug m and b into the y=mx+b form.
368708
1) 6*3=18 , 6*0=0, 6*-4=-24\n2) 3*3+8 = 17, 3*0+8 =8 , 3*(-4)+8 = -4\n3) -(3-2) = -1, -(0-2)= 2 ,  -(-4-2) = 6\n\ny=mx+b   m=slope ...\n1) y=(4)x + 3 ... y=(-4)x +5 ...      (-4) not = tp (4)  NO !!\n\n2) 10y + 20 = 6x   ....  5y= 3x + 35\n10y = 6x -20      ....      y = 3/5X + (35/5)\ny = 6/10X - 20/10    ....   y = 3/5X + 7  .... (6/10) = (3/5) ... YES!!
323972
Equation of a straight line: y = mx + b\nSubstitute m=-1 and x=2, y=1 into the equation,\ny = mx + b\n1 = (-1)(2) + b\n1 = -2 + b\n1 + 2 = b\nb = 3\n\nTherefore, equation of the straight line is y = -x + 3\n\nRearranging it into the format: mx + y = b,\nWe have, x + y = 3 (Q.E.D)
487106
its:\n\n2 - y / 6 = 8x\n6 (2 - y / 6 = 8x)\n2- y = 48x\n- y = 48x - 2\n-1 (- y = 48x - 2)\n\ny = - 48x + 2\n\nGoodluck!~\n\nI hope you undestand it too...just copying down answers won't help you...
380775
Let say x is y, to avoid any confusion.\n3/y = (y + 5)/2\n\nMultiply by 2 at both side.\n3/y x 2 = (y + 5)/2 x 2\n6/y = y + 5\n\nMultiply by y at both side.\n6/y x y = y x (y + 5)\n6 = y(y + 5)\n6 = y^2 + 5y\n\nBring all the numbers to one side.\ny^2 + 5y - 6 = 0\n\nFactorize the equation.\n(y + 6)(y - 1) = 0\n\nTherefore,\ny + 6 = 0  or  y - 1 = 0\ny = -6  or  y = 1\n\nIn short,\ny = -6, 1\n\nAs I had mentioned earlier, x = y.  \nTherefore, x = -6, 1.
663435
y=mx+b\n2=2(3)+b..... (in this you know the slope is 2 b/c the line is parallel.\n2=6+b\n-4=b...... (so now you will want to write your equation for your line)\n\ny=2x-4..... (DONE!)
477149
Isolate variable y to make it into the more familiar y=mx+b format.\n3y = -2x - 6\ny = -2/3 x - 2\n\nSlope is -2/3.
315729
Add the two equations together, combining like terms; the y terms will be eliminated because 4y + -4y = 0:\n\n3x = 7.5\n\nThen divide both sides by 3:  x = 2.5\n\nPlug this in for x in one of the equations.  Then find y.\n\n2(2.5) + 4y = 10\n5 + 4y = 10\n4y = 5\n\ny = 5/4
193068
you have to set up your equations first. y=x-9 and x=5-y. Now you have to substitute. y=(5-y)-9 and x=5-(x-9). You have to have variables on one side, so you add the -y to the 1st equation, you get 2y=5-9. Same for the 2nd equation, you get 2x=5+9. Divide by 2 for each equation, you get y=-2 and x=7.
507186
Good Evening\n\nI think we've been avoiding this question because we can't graph here... however to get you started, create an x|y chart for each line, plug in a couple of values, and connect the dots  (for a line you only need two points, but some books recommend finding three, so you can verify you didn't make a mistake somewhere)\n\nx+y = 8\nx|y\n----\n4|4\n3|5\n2|6\n\nx - y = -4\nx|y\n0|4\n1|5\n2|6\n\nGraph the two lines, and they should intersect at (2,6) since it appears in both of the charts...\n\n~i~
146403
Using pt. slope equation:\n\nY=mX+B where m=slope = 2/3, b=intercept, in this case = 0,\n\nY = 2/3 * x + 0\n\ny=2x/3.\n\n3y=2x\n3y-2x = 0.\n2x-3y=0