![]() ![]() Slope-intercept form is derived from the slope formula. In the slope-intercept formula, the slope of the line m is the coefficient for the x-coordinate, and the y-intercept is represented as the b variable. The slope-intercept form of a line states that the y-coordinate y of a point on the line is equal to the slope m times the x-coordinate x plus the y-intercept b. The slope-intercept form equation is given by: The y-intercept is the y-coordinate where the line crosses the y-axis. Slope-intercept form is applicable when you have the slope and y-intercept for a line or when you can calculate these for the line. The combination of these elements can be used to plot any point on the line. Slope-intercept form gets its name because the equation contains the slope and the y-intercept of the line. The slope-intercept form equation can be used to find any point on the line. Slope-intercept form is a type of linear equation format used to express a straight line. Slope-intercept form is probably the most frequently used equation format to represent a line, but you can also express the line in point-slope form or standard form. You can use a calculator like the one above to find the equation for a straight line in slope-intercept form, but you can also follow the steps below to find it. The most commonly used method is an algebraic equation in slope-intercept form. If you have an equation in standard form, all you have to do is type the equation, click "Calculate" and the solver will show, step-by-step, how to get to slope-intercept form.There are several ways to describe a line using its slope, or gradient. Can this solver go from standard form to slope intercept form?Ībsolutely. When the slope is zero, then the line is horizontalĪlso, putting the equation of a line in slope-intercept form allowsįor easy solution of simultaneous linear equations. 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 Slope-intercept form will depend on the way the line 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 With this solver/calculator, all you need to do is provide information with which you can identify the line you are working with, using one of the four different options. How do you arrive to the slope-intercept on a calculator? 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 objective to find both. 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 how to put it into slope-intercept form, with the following formula: More about this line in slope-intercept form calculator \(2x + \fracy = 3 + 2x\)), (3) you can provide the slope and a point that the line passes through, or (4) you can provide two points where the line passes through. You can provide: (1) both the slope and the y-intercept, (2) you can provide any linear equation (ex: You have different options to provide information about the line. ![]()
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