b is the y-intercept that indicates where the line cut the y-axis.(x, y) represent every point on a line.m denotes the slope or steepness of the line.The formula for the slope-intercept form used to write the equation of a line is: This is the general form of slope-intercept form. The mathematical expression for the slope of a line passing through two points (x 1, y 1) and (x 2, y 2) is as follows:Īfter rearranging the above equation, we get Also (x, y) is any other arbitrary point on this line. The value of m determines the inclination of a line while the value of b represents the point where the line crosses the y-axis.Ĭonsider a straight line with slope m and intersects the y-axis at (0, b). The slope-intercept form for linear equation with slope m and y-intercept b can be expressed as: Slope intercept form requires the slope “m” and y-intercept “b” of the line to determine the equation of a line.Īssume that a line has slope m and y-intercept b. This form is highly effective in simplifying the representation and interpretation of straight-line equations. The slope intercept form is a particular and widely used form for writing the equation of a line. What is the Slope-Intercept Form of Line? In this blog post, we’ll discuss the definition of slope intercept form and learn how to determine the equation of the line by using it along with examples. The equation of a straight line may also be found using the slope-intercept form if two points on the line are given. This form is most useful when the slope and y-intercept of the line are known. It defines the connection between two variables x and y in a straight line. The slope intercept form is a way of representing a linear equation in a two-dimensional coordinate plane.
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