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 | Use the given conditions to write an equation for… | The equation of a line in slope-intercept form is given by \(y = mx + c\), where \(m\) is the slope… |
| None | What is an equation of the line that passes throu… | 1. Write the given line equation in slope-intercept form: \( y=\frac{3}{2}x-2 \) |
| None | Find the equation of a line described as follows,… | The slope of a line given by the equation \(ax + by = c\) is \(-a/b\). So, the slope of the line \(… |