A1-U4.4 Equations of Parallel & Perpendicular Lines

4.4 Parallel and
Perpendicular Lines

We are going to use substitution to create linear equations with parallel and perpendicular slopes.

Objective:

1. Substitute the given (x, y) and the slope, into y = mx + b.

2. Solve for b.

3. Replace the slope, and intercept into y = mx + b.

Steps: Parallel Equations

1. Substitute the given (x, y) and the reciprocal/opposite slope, into y = mx + b.

2. Solve for b.

3. Replace the perpendicular slope, and intercept into y = mx + b.

Steps: Perpendicular Equations

Example 1:

Example 2:

Example 3: