What is the formula for calculating the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is expressed as ( y = mx + b ). In this format, ( m ) represents the slope of the line, which indicates how steep the line is and the direction it moves as ( x ) increases. A positive slope means the line rises from left to right, while a negative slope means it falls. The ( b ) is the y-intercept, which denotes the point at which the line crosses the y-axis, giving the value of ( y ) when ( x ) is zero. Understanding this form is crucial as it allows for quick graphing of linear equations and provides insight into the relationship between ( x ) and ( y ) in linear functions.