If you're looking to find a line that runs parallel to a given line and passes through a specific point, it's essential to keep in mind that parallel lines always share the same slope. The first step is to determine the slope of the initial line. Following that, leverage the slope-intercept equation (y=mx+b), and substitute the identified slope and the given point's coordinates in the equation to calculate the y-intercept (b) of the new parallel line.
| Topic | Problem | Solution |
|---|---|---|
| None | The line \( y = 3x - 2 \) has a slope of 3. Find … | Step1: Recall that parallel lines have the same slope. So, the slope of the new line will also be 3. |