What is the slope-intercept formula?

The slope-intercept formula is an important concept in algebra used to describe the relationship between variables in a linear equation. The correct formula, represented as ( y = mx + b ), consists of two key components: the slope (m) and the y-intercept (b).

The slope, denoted by ( m ), indicates the steepness of the line and the direction it moves as it rises or falls across the graph. A positive slope means that as ( x ) increases, ( y ) also increases, leading to an upward trend in the line. Conversely, a negative slope indicates a downward trend.

The y-intercept, represented by ( b ), is the point where the line crosses the y-axis. This value provides a starting point on the graph when ( x = 0 ), helping to visualize where the line begins.

Understanding this formula allows students to easily graph linear equations, make predictions, and analyze relationships between variables effectively.