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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
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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.