What is the Slope-Intercept Formula?

The Slope-Intercept Formula is expressed as ( y = mx + b ). This formula represents a linear equation where ( m ) indicates the slope of the line, which describes how steep the line is, and ( b ) represents the y-intercept, which is the value of ( y ) at the point where the line crosses the y-axis. This form of the equation is particularly useful for graphing linear equations because it clearly defines both the slope and the starting point of the line on the graph.

In this context, the slope indicates the rate of change of ( y ) with respect to ( x ), telling us how much ( y ) increases or decreases as ( x ) increases by one unit. Understanding this relationship is fundamental in algebra and is frequently applied in various mathematical contexts, such as solving problems involving rate of change or trends in data.

The other options represent different forms of equations. One is a rearrangement of a slope-intercept form but uses different notation. Another option is a point-slope formula, which is used when you know a point on the line and can calculate the slope, but it doesn't directly present the equation in slope-intercept form. The last option is the standard form of