linguistic:voice_change, structural:summarization
Slope–intercept form or Gradient-intercept form

A non-vertical line can be defined by its slope m, and its y -intercept y (the y coordinate of its intersection with the y -axis). In this case, its linear equation can be written

If, moreover, the line is not horizontal, it can be defined by its slope and its x -intercept x. In this case, its equation can be written

or, equivalently,

These forms rely on the habit of considering a nonvertical line as the graph of a function. For a line given by an equation

these forms can be easily deduced from the relations