The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line.
To find the slope of the original line, you first need to identify its slope from the graph. The slope (m) is typically represented as the ratio of the vertical change to the horizontal change between two points on the line. If the slope of the original line is ‘m’, then the slope of the line perpendicular to it is calculated as: -1/m.
For example, if the original line has a slope of 2, the slope of the line that is perpendicular to it would be -1/2. This concept is essential in geometry and algebra, as it helps in understanding how different lines interact on a graph.