We have also found x and y-intercepts from an equation in slope-intercept form.We have determined slope-intercept form using a graph, using a point and a slope, and using two points.Remember, slope-intercept form is: y=mx+b. ![]() Return to the Table of Contents Summary: Slope-Intercept Form ![]() To learn more, read our review guide on the standard form of linear equations. ![]() This form can be very useful to solve systems of equations. Point-Slope FormĪ linear equation can also be written in standard form. To learn more, read our detailed review article on point-slope form. Linear equations can also be written in point-slope form, determined by one point on the line and the slope of the line. Example: Slope-intercept calculationĪssume that you have a line in standard form \( \frac\).Return to the Table of Contents Other forms of linear equations 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 More about this line in slope-intercept form calculator
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