The slope of a line represents its steepness and is calculated as the ratio of rise over run, or the vertical change over the horizontal change between two points on the line. To find the slope, identify two points, count the vertical and horizontal change between them, and divide the vertical change by the horizontal change. A positive slope occurs when the vertical change is up or the horizontal change is left to right, while a negative slope occurs when the vertical change is down or the horizontal change is right to left.