In the slope-intercept form of a line, what is the equation?

The slope-intercept form of a line is expressed as y = mx + b. In this equation, "m" represents the slope of the line, which indicates its steepness and direction, while "b" represents the y-intercept, the point where the line crosses the y-axis. This formula provides a straightforward way to identify the slope and the starting point of the line on a Cartesian plane.

The clarity of this form allows for easy graphing and understanding of linear relationships. By comparing values of x in the equation, one can determine the corresponding values of y, facilitating the construction of the line on a graph. The slope-intercept form is widely used in algebra and is a foundational concept in understanding linear equations.

Other options present variations of linear equations but do not define the slope-intercept form specifically. They might relate to point-slope form or different representations that don't emphasize the slope and y-intercept as clearly as the slope-intercept form does.