Section 6.5 Guided Notes Algebra I

Objective: I will be able to determine if a pair of linear functions are parallel, perpendicular, or neither.

Graphing lines in Standard Form: ____________________ Graph this line: ____________________

Method 1:

Method 2:

Graph this line: ____________________

Equations for a Line:

Slope-intercept Form

Standard Form

Point-Slope Form

Horizontal Lines

Vertical Lines

On the same set of axes graph these two lines: ____________________ ____________________

What is the relationship between the two lines you just graphed?

Parallel Symbol

y = -2x + 1 Write this equation in Slope-Intercept Form

6x + 3y = -12

What do you notice about the two equations?How do you know by just looking at the equation of two lines if they are parallel?

On the same set of axes graph these two lines: ____________________ ____________________

What is the relationship between the two lines you just graphed?

Parallel Symbol

y = -2x + 1 Write this equation in Slope-Intercept Form

6x + 3y = -12

What do you notice about the two equations?How do you know by just looking at the equation of two lines if they are perpendicular?

Section 6-5: Parallel and Perpendicular Lines

Two lines are parallel if they:

Two lines are perpendicular if they:

Find the opposite reciprocal of each number:

Is each pair of lines parallel?

1. 2. 3. 4.

Is each pair of lines perpendicular?

1. 2. 3. 4.

Tell if each pair of lines are parallel, perpendicular, or neither

1. 2. 3. 4.

Use this equation: ___________________ Use this equation: ___________________

Use this equation: ___________________