Example: Slope-intercept calculationĪssume that you have a line in standard form \( \frac\). Show, step-by-step, how to get to slope-intercept form. Type the equation, click "Calculate" and the solver will If you have an equation in standard form, all you have to do is Can this solver go from standard form to slope intercept form?Ībsolutely. When the slope is zero, then the line isĪlso, putting the equation of a line in slope-intercept form allows for easy solution of simultaneous Y-intercept we know where the line intersects the y-axis, and with the slope we know a degree of the inclination of the line.Ī negative slope indicates a declining line, and a positive slope indicates an ascending line. The slope-intercept of a line is very commonly used because it gives a very intuitive and graphical depiction what the line does. Why is the slope-intercept form of a line very commonly used Was initially constructed, but the idea is that we solve for \(y\). Once you have provided the initial information, the procedure to arrive to the slope-intercept form will depend on the way the line With this solver/calculator, all you need to do is provide information with which you can identify the line you are working with, 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 Intercepts of Lines Review (X-intercepts and Y-intercepts)| Khan Academy.More about this line in slope-intercept form calculator.The intercepts are (-1/4, -1/9) References Put the points in the above formula we get: The general formula for the equation of a line is: The given points are A = 4, B = 9 and C = 1 The maximum power of the given equation is “1” so it is linear.Īs the equation is already arranged so we’ll move toward the calculations.Ĭalculate the X and Y intercepts of the equation if A = 4, B = 9 and C = 1 The following examples will help you to understand the procedure more clearly.Ĭalculate the X and Y intercepts of the equation 8x + 2y + 4 = 0 For the y-intercept, put x=0 and calculate it.For the x-intercept put y = 0 in the equation and calculate it using specific arithmetic operations.After checking the linearity re-arrange the equation in Ax + By + C = 0 form.First of all, check whether the equation is linear or not.Or follow the following steps to calculate it manually. Try our X and Y intercept form calculator to calculate it. How can we calculate the X and Y intercepts of a line? The X intercept of a line indicates the point of intersection on the abscissa, whereas the y-intercept indicates the same on the y-axis. The intercept has two types known as X and Y intercepts. In mathematics, the intercept is a point where the line crosses the ordinate. This method of the equation of the line finds the values without using the slope of the line. This calculator evaluates the x-intercept and y-intercept of the given equation. Choose the mode 'Line equation is ax + by + c 0'. To calculate the x-and y-intercepts along with the lines slope from its general equation. X and Y intercept form calculator finds the point of intersection of a line on the cartesian coordinates using the coefficients of the equation of the line. You can use this y-intercept calculator in three modes.
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