To calculate the y-intercept, we can use a similar formula to the one used to calculate the equation of a parallel line.
Now that we have the slope of our new line, all we need now is the y-intercept, b. Where m is the original slope, and a is the slope of the perpendicular line.
With that in mind we can formulate the following equations. This means that the product of the two slopes is equal to -1. The slope of a perpendicular line is always the inverse of the other. The first step in finding the equation of a line perpendicular to another is understanding the relationship of their slopes. Where m is the slope and b is the y-intercept.
