A presentation discussing the parallel and perpendicular lines in College and Advance Algebra

1. Lesson 3.4
Parallel Lines and
Perpendicular Lines
ARREZA, DANIELA JANE B.
BSED 1C

2. Objectives:
1. Define Parallel Lines and Perpendicular Lines;
2. Differentiate Parallel Lines and Perpendicular Lines;
3. Evaluate equation of the line that is parallel or
perpendicular to the given line.

3. What are Parallel Lines?
- When two lines have no points in common,
they are said to be parallel.
- Parallel Lines have the same slope. m1=m2

4. Example 1: Find an equation of a line in standard form
passing through the point (2, -1) and parallel to the line with
an equation y=2x+9.

6. Example 2: Find the equation of a line passing through
(
4
5
,
7
8
) and parallel to the line 5x-8y=6.

8. Example 3: Find the equation of a line parallel to the y-
axis and passing through the point (14,8).

9. What are Perpendicular Lines?
- When two lines intersect at a right angle, they
are said to be perpendicular.
- Lines are perpendicular if and only if m1 = -
1
𝑚2
or (m1)(m2) = -1. The slope of the
equation is opposite to the given equation.

10. Example 1: Find an equation of a line in standard form
passing through the point (2, -1) and perpendicular to
the line with an equation y=-3x-8.

12. Example 2: Find the equation of a line
perpendicular to the line
8
9
𝑥 +
4
3
𝑦 = 1 and passing
through the point (5, 7).

15. Example 3: Find the equation of a line
perpendicular to the x-axis and passing through
the point (9, 0)