To find the line that is perpendicular to and passes through the point (2, −3):
Find the perpendicular slope:
The slope of the given line is .
The perpendicular slope is the negative reciprocal, which is .
Use the point-slope form to find the equation of the perpendicular line passing through (2, −3):
Point-slope form:
Here, () is (2, −3) and m is .
Substitute these values: