Note that the slope is the coefficient of (x – x 1) in the formula. The point-slope form equation states that y minus the y-coordinate y 1 is equal to the slope of the line m times x minus the x-coordinate x 1. The point-slope form equation for describing a line is given by: Non-linear functions represent the equation of a curve, where the steepness of the function changes along the curve. Point-slope form is a linear equation of a straight line, so it is not useful for curves or line segments defined by piecewise functions. Point-slope form is most useful when you know the slope of a line and the coordinates of a point on the line. It is expressed using a standard formula. Point-slope form is an algebraic equation of a line using the slope and one point on the line. The calculator above will help describe the line in point-slope form. There are several standard equations for a line: point-slope form, slope-intercept form, and standard form. The most common way to describe a line is with an algebraic equation. However, the slope only describes the angle or gradient of the line, but not its position on a graph. One way to describe a line is using its slope, or gradient. It worked out.When working with lines, there are a number of ways to describe the line. 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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