The slope-intercept form applies to all lines drawn in a two-dimensional Cartesian plane, which is a typical graph with x and y axes, and a coordinate system (x,y). The slope-intercept form is expressed as y=mx+b, where m is defined as the slope of the line and b is defined as the y-intercept of the line.
In the slope-intercept form, y=mx+b, m is defined as the slope of a line. The slope determines the rate at which the line increases or decreases. For example, the line given by y=2x has a slope of 2, and increases at a quicker rate than does the line given by y=0.5x, which has a slope of 0.5.
In the slope-intercept form, y=mx+b, b is defined as the y-intercept of the line. The y-intercept is the point (0,y) on the Cartesian plane that tells where the line crosses the y-axis. For example, a line given by y=2x+4 crosses the y-axis at the coordinate (0,4); similarly, a line given by y=0.5x-3 crosses the y-axis at the point (0,-3).
Plugging in values for x in the slope-intercept form will allow you to solve for y, thereby giving you a coordinate point (x,y) for each value of x. For example, take the line given by y=3x+1. To solve for y, insert any value in for x and solve: If x=2, then y=3(2)+1; therefore, when x=2, y=7 (the sum of one added to the product of three times two), or (2,7).