So based on the information you have, you will need to decide what option do you use to initially identify your line. ![]() Passes through, which also would define one and one line only. Ultimately, you may have two points you know the line Or also you can provide the slope of the line and one point it passes through. On what type of information you have been provided with, you may have the slope and y-intercept (which together univocally define a line) One way is to simply to type out a valid linear equation directly. There are several ways to define a linear equation. How do you define the equation of the line in this calculatorįirst, you need to provide information to specify the equation. Where a is the slope of the line, and b is the y-intercept, and your How to put it into slope-intercept form, with the following formula: This slope-intercept equation calculator will allow you to provide information of a linear equation in one of four ways, and then it will show It worked out.More about this line in slope-intercept form 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. 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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