# Parallel and Perpendicular Lines

### Example 1

Can two lines that intersect be parallel to each other?

### Example 2

Can two lines that lie on the same plane be parallel to each other?

### Example 3

Line *u* is parallel to line *l* and line *l* is parallel to line *i*. Is it true that line *u* is parallel to line *i*?

### Example 4

Line *j* is parallel to line *k*. If line *j* has the equation *y* = 3*x* – 1, what slope must line *k* have?

### Example 5

Line *p* is parallel to line *q*. If line *p* has the equation 4*x* + 5*y* = 15 and line *q* passes through point (5, 5), what is the equation of line *q*?