![]() a, b and c can be entered as integers, fractions or numbers with a decimal point as shown below.įor lines of the form ax = c (b = 0), the slope is undefined. Use Slope Intercept Form of a Line Calculatorġ - Enter the coefficients a, b and c and press "Slope Intercept Form". ![]() The importance of the slope intercept form of a line lies in the fact that the slope m and the y intercept B of the line are easily identified and here are the steps to follow:ġ) Solve the general equation a x + b y = c for yįor b not equal to zero, we divide all terms by the coefficient b.Ģ) Compare the above equation to the slope intercept form y = m x + B and identify m and B asįind slope and the y intercept of the line given by the equation 2 y + 3 x = 6Ĭompare the above equation to the slope intercept for y = m x + B to find Into the slope intercept form y = m x + B. This online calculator rewrites an equation of a line of the general form It worked out.Slope Intercept Form of a Line - Calculator So it is, negative 14x plus 21y is equal to 12. Of them the way I did in that previous example. If there was a common factorįor all three of these numbers then I would divide all And 21 and 12 are divisibleīy three but 14 isn't. But all of these aren'tĭivisible by the same number. 12 is divisible by two, six, three, four. Now let's see, am I done? Do these share any, do 14, 21, and 12 share any common factors? Let's see, 14 is divisibleīy two and seven. Let's see and I subtractedġ4x to get rid of this. So on the left hand side I have negative 14x plus 21y. Then what am I left with? Let me give myself a ![]() I can't just do it on the right hand side I have to do it on the So I wanna get thisġ4x onto the left side. And now I wanna get all the X's and Y's on one side. ![]() Three times seven of course isĢ1, we just figured that out. So this is going to be multiplied by three and multiplied by seven. Three and I multiply by seven, I have to do that to this side as well. So we start with Y is equal to 2/3x plus 4/7. So if you multiply threeĪnd you multiply by seven. Rid of the fractions is to multiple by threeĪnd to multiply by seven. The first thing you could try to do is well let's get rid ofĪll of these fractions. Express the equation of a line in slope-intercept form using the calculator below. So the first thing I would wanna do is, well there's a bunch of ways Because there's obviously aīunch of forms in this way. That they're asking for and probably because it's just easier for the site to know that You get 2x, divide this by two you'll get plus y is equal to 5. Divide them all by twoĪnd then you would get two so you divide this by two. Number, and this number are all divisible by two. So if we got to the point of say 4x plus 2y is equal to 10, well this number, and this That just means that A, B,Īnd C in the standard form they want need to be integers. Which means all numbers must be integers that do not share a commonįactor other than one. And that extra text they were saying, the equation must be simplified. Which would be the form Ax plus By is equal to C. But we wanna write this in standard form. Out what the slope and what the Y intercept It's written in the form Y is equal to mx plus b, where m in this case is 2/3 and b is 4/7. So the way that it's written right now, this is slope intercept form. The equation must be simplified, which means all numbers must be integers that do not share a commonįactor other than one. Rewrite Y is equal to 2/3x plus 4/7 in standard form.
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