
Let us have a look at the slope-intercept formula and its derivation for a better understanding of the concept. Also, in the case when we are given two points (x 1, y 1) and (x 2, y 2) lying on the straight line, the slope can be given as: (y 2 - y 1)/(x 2 - x 1). Note: The slope of the line for which angle of inclination, θ is given can be calculated as tan θ. The equation of a line with slope (2) and passing through origin(y-intercept = 0) is given as: y = 2x.The equation of a line with slope (-1) and y-intercept (4) is found using: y = -x + 4.Some examples of the slope intercept form are shown here. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b. Let us consider a straight line of slope 'm' and y-intercept 'b'.
For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. The slope-intercept form of a straight line is used to find the equation of a line. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis. The determination of this equation is straightforward.
the coordinates of any point not on the line will not satisfy. the coordinates of any point on the line must satisfy. The equation of a straight line will be that relation which: The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. Don’t forget to review after downloading.What is Slope Intercept Form of a Straight Line? The easy interface of this app allows the new users to understand its use in an instant.ġ.Ĝhoose any one of the three options of input.Īnd that is all. You will also get a linear equation graph of the formed equation. It includes the labeled calculation classified into steps. The result of the inputs is also worth mentioning due to its comprehensiveness. This application allows the user to find the linear equation in the slope-intercept form through three various inputs. Some of the highlighted features of this application are: Where x and y are the coordinates of any point on the line. The general form of slope-intercept form is y = mx+b (due to its syntax, the application is also known as y = mx + b calculator).ġ. Find more about slope and related topics on .įormula or syntax of slope-intercept form The slope is the measure of the inclination of a line. You can identify both values by looking at the equation. It is a type of linear equation that includes the slope (defined below) and the y-intercept in the syntax. The marked graph explains the geometry of the graph to give a better understanding.īy using this slope and y-intercept calculator multiple times, you can learn the various methods of its calculation. The results explain the process in detail to remove any confusion.
This application is designed for everyone from teachers to students to engineers e.t.c. Find the slope-intercept form and the graph of the equation using three different inputting methods.