To find a line perpendicular to a given line and passing through a specified point, you must first grasp the concept of the initial line's slope. The perpendicular line's slope will be the negative reciprocal of the slope of the initial line. Following this, the point-slope formula can be employed to derive the equation of the new line.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the equation of the line perpendicular to th… | Step 1: Find the slope of the given line. The slope of the line \( y = 3x + 2 \) is 3. |