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5.5 Write Equations of Parallel and Perpendicular Lines

Warm-Up with a Partner! For 1, answer the question using the given equation y =

3

4

x + 7.

1)

a) What is the slope of a line that would be parallel to the above equation? ____________

b) What is the slope of a line that would be perpendicular to the above equation? ____________

For 2-3, determine if the lines are parallel, perpendicular, or neither.

2) 4 3 4 1y x and y x 3) 3 4 2 6 16x y and y x

For 4-5, determine if the lines are perpendicular.

4) 5)

5.5 Day 1

Notes

Example 1:

Write an equation (in Slope-Intercept Form) of the line that passes through (-3, -5) and is parallel to the

line y = 3x – 1.

Practice:

1) Write an equation (in Slope-Intercept Form) of the line that passes through (-2, 11) and is perpendicular

to the line y = -x + 5.

Example 2:

Write an equation (in Point-Slope Form) of the line that passes through (4, -5) and is perpendicular to the

line y = 2x + 3.

Practice:

1) Write an equation (in Point-Slope Form) of the line that passes through (4, 3) and is parallel to

y = 4x – 7.

Step 1: Identify the _____________ of the line.

Step 2: Find the _________________ by

substituting the slope and a point.

Step 3: Write an equation.

Step 1: Find the ______________.

Step 2: Identify a ____________.

Step 3: Write an equation.