The slope of a line passing through the points (x1,y1) and (x2,y2) is the ratio of the vertical change to the horizontal change between the points. The variable m is most commonly used to represent the slope.
rise over run is sometimes used to describe the slope of a line, especially when the line is given graphically. Rise corresponds to and run corresponds to
The definition of the slope of a line can be written in terms of its rise over its run.
The slope of a line can be found algebraically using the following rule.
Write the equation of the line that passes through the points (3,1) and (5,5).
The y-intercept is the point where the graph intersects the y-axis. From the diagram, it can be seen that the y-intercept is (0,-4).