![]() The formula for slope using the coordinates for two points (x 1, y 1) and (x 2, y 2) is: 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. Or you can also graph two linear equations and find the intersection of two lines, if it exists.There are several ways to describe a line using its slope, or gradient. Often times, you just want to have a quick look at how things look graphically, for which you could use this tool for Other useful calculators related to linear functions Example: Calculation of the equation of a lineĪssume that you have a line that passes through the point \(\left( \frac\). In order to see an example of how this calculator deals with fractional linear equations, check the example below. Generic numeric expression, which includes fractions. One of the neat things about this calculator is that all the coefficients you use to define the equation can be any ![]() Can this solver deal with fractional linear equations? ![]() Why is the standard form neededĬertain specific forms of an equation come from tradition, but usually because it is useful to use a specific form.įorm, it is practical to have it in the form \(a x + by = c\), because by plugging \(x=0\) it is easy to compute theīy plugging \(y=0\) it is easy to compute the x-intercept.Īlso, the standard form is commonly used as the format of choice when solving simultaneous With this calculator, all you have to do is provide information to define the equation, among the four different options. How do you solve standard form on a calculator? Then, your goal is to determine the standard form formula and find the constants a, b and c that determine it. What is the format of a linear equation in standard form?Ī linear equation is said to be in standard form if it has the following structure: What way will you use to define your equation will depend on what information you have available. Or (3) you can provide two points where the line passes through. Or (2) the slope and one point where the line passes through, For this purpose, you can either provide anĮquation directly, or otherwise, depending on the information you have available, you can provide: How to find the equation of a line? So the first thing, is to define a linear equation. This equation of the line in standard form equation calculator will allow you to define an equation in one of four ways you prefer,Īnd it will show you all of the steps required. More about this equation of line in standard form calculator
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