Slope Intercept Form
y=mx+b
Slope-intercept form is a standard mathematical equation used to express the equation of a line in two-dimensional space. It is written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
The term slope refers to the steepness of a line and is calculated by taking the ratio of the change in y-coordinates to the corresponding change in x-coordinates between two points on the line. The symbol m represents the slope of the line and can be either positive, negative, zero, or undefined.
The y-intercept, represented by the symbol b, is the point on the y-axis where the line intersects it. The term intercept means the point where a line intersects a coordinate axis.
Using slope-intercept form, you can easily graph a line by plotting the y-intercept on the y-axis and then using the slope to determine additional points on the line. This equation is also useful for determining the equation of a line given its slope and y-intercept.
It is called slope-intercept form because it explicitly shows both the slope and the y-intercept of a line in a simple, easy-to-use equation.
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