How do you arrive to the slope-intercept on a calculator? We have a constant plus another constant (which could be negative) multiplying the independent variable (\(x\)). Perhaps you have seen it written like \(y = a + b x\), but that is exactly the same: We have the dependent variable (\(y\)) on one side, and How do you represent a line in slope-intercept format?Ī linear equation is said to be in slope-intercept form if it has the following structure: 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 is therefore important to know how to convert between various forms of linear equations to best suit the application.Ĭonverting from point-slope or slope-intercept form to standard form involves moving all the variables to one side of the equation, moving the constant to the other side, then manipulating the equation as necessary such that the coefficients of the terms of the equation are integers.More about this line in slope-intercept form calculator Slope-intercept and point-slope form are two commonly used forms of a linear equation that, while useful for graphing, are not useful for solving systems of linear equations. For example, when solving systems of linear equations, it is helpful to first convert the equation into standard form. Converting to standard formĭifferent forms of linear equations are useful for different applications. Thus, plotting the line doesn't require any calculation of the intercepts. Equations in slope-intercept and point-slope form include the slope of the line, and a point on the line, which can be immediately read from the equation. Once the x and y-intercepts are found, the line can be graphed by plotting the x and y-intercepts then drawing a line connecting the intercepts.ĭepending on the linear equation, it can be easier to graph a line given an equation in slope-intercept or point-slope form, since it can be tedious to calculate the x and y-intercepts given an equation in standard form. Finding the x-intercept using either of these two other forms is more tedious than it is with standard form. One of the key benefits of the standard form of a linear equation over point-slope form and slope-intercept form is the ease with which it can be used to find the x-intercept. Doing so results in the general formulas for finding the x and y-intercept given a linear equation in standard form: Standard form is useful because the x- and y-intercepts of the line can be easily found by setting x or y equal to 0, then solving for the desired variable. The standard form of a linear equation is given by the equation: In this case, standard form refers to the standard form of a linear equation. Standard form is a term commonly used to describe the most typical form of an object (like a number, expression, equation, etc.) used in a number of different topics. Home / algebra / linear equations / standard form Standard form
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